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Compensatory Equity Incentive Plan and Other Equity Incentives (Details)
Mar. 31, 2015
Award shares, authorized 4,315,625us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
Award shares, outstanding 1,801,695lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardOutstandingNumber
Available for issuance 1,874,866us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
Amended and Restated Omnibus Incentive Plan [Member]  
Award shares, authorized 3,915,625us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
Award shares, outstanding 1,801,695lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardOutstandingNumber
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
Available for issuance 1,474,866us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
2014 Employee Stock Purchase Plan [Member]  
Award shares, authorized 400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= lpth_ESPPMember
Available for issuance 400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= lpth_ESPPMember