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Income Taxes - Reconciliation of Income Tax Expense at the Statutory Rate (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Jun. 30, 2023 | Jun. 30, 2022
Income Taxes Paid, Net [Abstract] |  |
Computed at the statutory rate | $ 1,315 | $ 1,644
Increase (decrease) resulting from |  |
Tax exempt interest | (22) | (11)
Cash surrender value of life insurance | (81) | (102)
State income taxes | 451 | 570
Other | (63) | (58)
Actual tax expense | $ 1,600 | $ 2,043
Tax rate as a percentage of pre-tax income | 25.60% | 26.10%

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