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Note 12 - Earnings (Loss) Per Share - Computation of Earnings per Share (Details) - USD ($)	3 Months Ended						9 Months Ended
	Mar. 31, 2026	Dec. 31, 2025	Sep. 30, 2025	Mar. 31, 2025	Dec. 31, 2024	Sep. 30, 2024	Mar. 31, 2026	Mar. 31, 2025
Net loss	$ (4,106,287)	$ (9,405,409)	$ (2,893,002)	$ (3,582,460)	$ (2,611,997)	$ (1,622,745)	$ (16,404,698)	$ (7,817,202)
Net loss attributable to stockholders	$ (4,106,287)			$ (18,333,594)			$ (16,404,698)	$ (22,568,336)
Basic number of shares (in shares)	58,628,741			41,363,643			49,572,872	40,209,657
Diluted number of shares (in shares)	58,628,741			41,363,643			49,572,872	40,209,657
Basic (in dollars per share)	$ (0.07)			$ (0.44)			$ (0.33)	$ (0.56)
Diluted (in dollars per share)	$ (0.07)			$ (0.44)			$ (0.33)	$ (0.56)
Series G Convertible Preferred Stock [Member]
Accretion of dividends on Series G preferred	$ 0			$ (14,751,134)			$ 0	$ (14,751,134)

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- Definition

The amount of net income (loss) for the period per each share of common stock or unit outstanding during the reporting period net of accretion.

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Number of [basic] shares or units, after adjustment for contingently issuable shares or units and other shares or units not deemed outstanding, determined by relating the portion of time within a reporting period that common shares or units have been outstanding to the total time in that period.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 260
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482662/260-10-50-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 260
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 10
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482689/260-10-45-10

+ Details

Name:	us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_StatementClassOfStockAxis=lpth_SeriesGConvertiblePreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: