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Compensatory Equity Incentive Plan and Other Equity Incentives (Details Narrative) (USD $)
9 Months Ended
Mar. 31, 2015
Mar. 31, 2014
ESPP Plan Description of terms

The 2004 Employee Stock Purchase Plan (“ESPP”) permits employees to purchase shares of Class A common stock through payroll deductions, which may not exceed 15% of an employee’s compensation, at a price not less than 85% of the market value of the stock on specified dates (June 30 and December 31). In no event may any participant purchase more than $25,000 worth of shares of Class A common stock in any calendar year and an employee may purchase no more than 4,000 shares on any purchase date within an offering period of 12 months and 2,000 shares on any purchase date within an offering period of six months.

 
Threshold percentage of compensation 15.00%lpth_ESOPCompensationPercentageThreshold  
Percentage of market value shares may be purchased at 85.00%lpth_ESOPPercentageMarketValue  
Yearly limit on purchase of common stock, value $ 25,000lpth_YearlyLimitOnPurchaseOfCommonStockValue  
Yearly limit on purchase of common stock, shares 4,000lpth_YearlyLimitOnPurchaseOfCommonStockShares  
Six month limit on purchase of common stock, shares 2,000lpth_SixMonthLimitOnPurchaseOfCommonStockShares  
Discount on market value 1,356lpth_EmployeeStockOwnershipPlanESOPDiscount 755lpth_EmployeeStockOwnershipPlanESOPDiscount
Forfeiture Rate, Options 20.00%lpth_FairValueForfeitureRateOptions 20.00%lpth_FairValueForfeitureRateOptions
Forfeiture Rate, RSUs 0.00%lpth_FairValueForfeitureRateRSUs 0.00%lpth_FairValueForfeitureRateRSUs
Exercisable period 10 years  
Intrinsic Value of Options Outstanding and Exercisable 1,198us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1 39,243us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
Intrinsic Value of RSUS exercised 0lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardRSUsExercisesInPeriodTotalIntrinsicValue 288,652lpth_ShareBasedCompensationArrangementByShareBasedPaymentAwardRSUsExercisesInPeriodTotalIntrinsicValue
Intrinsic Value of RSUs Outstanding and Exercisable 658,673us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueOutstanding 778,095us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueOutstanding
Fair Value of RSUs Vested 199,825us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue 333,571us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue
Fair value of options vested $ 8,908us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 $ 121,884us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
Lower Range [Member]    
Vesting period of options and RSUs 2 years  
Upper Range [Member]    
Vesting period of options and RSUs 4 years