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Compensatory Equity Incentive Plan and Other Equity Incentives (Details)
Dec. 31, 2014
Award shares, authorized 2,915,625us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
Award shares, outstanding 1,799,458lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardOutstandingNumber
Available for issuance 277,103us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
Amended and Restated Omnibus Incentive Plan [Member]  
Award shares, authorized 2,715,625us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
Award shares, outstanding 1,799,458lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardOutstandingNumber
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
Available for issuance 277,103us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= lpth_AmendedAndRestatedOmnibusIncentivePlanMember
2014 Employee Stock Purchase Plan [Member]  
Award shares, authorized 200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= lpth_ESPPMember