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Note 9 - Equity Compensation (Details Textual) - USD ($) | 12 Months Ended |  |
--- | --- | --- | ---
Jun. 30, 2023 | Jun. 30, 2022 | Nov. 30, 2021 | Nov. 30, 2019
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross | 0 |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value | $ 2,000,000.0 |  |  |
Proceeds from Stock Options Exercised | 3,862,000 | $ 26,000 |  |
Reduction of Federal Income Taxes Payable Related To Stock Option Exercise | 800,000 | 200,000 |  |
Reduction of Deferred Tax Asset Related to Stock Option Exercises | $ 100,000 | $ 100,000 |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Issued in Period | 43,722 | 42,420 |  |
Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture | $ 400,000 |  |  |
Deferred Compensation Arrangement with Individual, Shares Issued | 207,090 | 494,047 |  |
Deferred Compensation Plan With Rabbit Trust [Member] |  |  |  |
Treasury Stock, Common, Shares | 922,426 | 821,876 |  |
Treasury Stock, Value | $ 7,200,000 | $ 5,900,000 |  |
LSi Employee Stock Purchase Plan (ESPP) [Member] |  |  |  |
Employee Stock Ownership Plan (ESOP), Number of Allocated Shares | 256,000 |  | 270,000 |
Employee Stock Ownership Plan (ESOP), Discount Percentage |  |  | 10.00% |
Employee Stock Ownership Plan (ESOP), Shares Contributed to ESOP | 14,000 |  |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross | 197,915 |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period |  | 146,821 |  |
Share-Based Payment Arrangement, Expense | $ 1,300,000 | $ 900,000 |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount | $ 1,100,000 |  |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition | 1 year 7 months 6 days |  |  |
Dividends | $ 101,931 | $ 65,743 |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value | $ 800,000 |  |  |
Performance Stock Units [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross | 190,510 |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period | 190,510 | 190,980 |  |
Share-Based Payment Arrangement, Expense | $ 2,000,000.0 | $ 1,600,000 |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount | $ 1,200,000 |  |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition | 2 years |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value | $ 6.90 |  |  |
Service-based Options [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period | 3 years |  |  |
Share-Based Payment Arrangement, Option [Member] |  |  |  |
Share-Based Payment Arrangement, Expense | $ 300,000 | $ 700,000 |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount | $ 100,000 |  |  |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition | 2 months 12 days |  |  |
The 2019 Omnibus Award Plan [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized |  |  |  | 2,650,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant | 2,417,793 |  |  |
The 2019 Omnibus Award Plan [Member] | Restricted Stock Units (RSUs) [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period | 197,915 |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period | 3 years |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value | $ 6.9 |  |  |
The 2019 Omnibus Award Plan [Member] | Performance Stock Units [Member] |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period | 190,510 |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value | $ 6.9 |  |  |

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- Definition The shares or units in an ESOP trust that have been assigned to individual participant accounts based on a known formula. IRS rules require allocations to be nondiscriminatory generally based on compensation, length of service, or a combination of both. For any particular participant such shares or units may be vested, unvested, or partially vested. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480489/718-40-50-1 + Details
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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Gross number of share options (or share units) granted during the period. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(01) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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