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Compensatory Equity Incentive Plan and Other Equity Incentives (Details 4) (USD $)	6 Months Ended
	Dec. 31, 2014
Stock Options
Granted	80,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
Balance ending, shares unexercisable and unvested	207,500us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares
Restricted Stock Units
Balance, ending, shares unexercisable/unvested	470,535us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
Class A Common Stock [Member]
Total Shares
Beginning Balance	547,303lpth_SharebasedCompensationArrangementBySharebasedPaymentAwardSharesNonvestedNumberOfShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Granted	299,000lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesGrantsInPeriodGross / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Vested	(168,268)lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardVestedInPeriodGross / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Balance ending	514,637lpth_SharebasedCompensationArrangementBySharebasedPaymentAwardSharesNonvestedNumberOfShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Weighted Average Grant Date Fair Values (per share)
Beginning Balance	1.18lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonvestedWeightedAverageGrantDateFairValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Granted	1.31lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Vested	1.37lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardVestedInPeriodWeightedAverageGrantDateFairValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Ending Balance	1.19lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonvestedWeightedAverageGrantDateFairValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonClassAMember
Stock Options [Member]
Stock Options
Beginning Balance	193,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares / us-gaap_AwardTypeAxis = us-gaap_StockOptionMember
Granted	80,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross / us-gaap_AwardTypeAxis = us-gaap_StockOptionMember
Vested	(65,500)us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares / us-gaap_AwardTypeAxis = us-gaap_StockOptionMember
Balance ending, shares unexercisable and unvested	207,500us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares / us-gaap_AwardTypeAxis = us-gaap_StockOptionMember
Restricted Stock Units (RSUs) [Member]
Restricted Stock Units
Beginning Balance	354,303us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember
Granted	219,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember
Vested	(102,768)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember
Balance, ending, shares unexercisable/unvested	470,535us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember

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Reference 1: http://www.xbrl.org/2003/role/presentationRef

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-SubTopic 10

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-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901

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