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Earnings Per Share (Details) (USD $)
3 Months Ended 9 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Earnings Per Share [Abstract]        
Net income (loss) $ 89,791us-gaap_NetIncomeLoss $ (133,322)us-gaap_NetIncomeLoss $ (348,046)us-gaap_NetIncomeLoss $ (415,700)us-gaap_NetIncomeLoss
Weighted average common shares outstanding:        
Number of shares used in per share calculation (basic) 15,028,231us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,292,976us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 14,537,727us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 13,905,376us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Effect of dilutive securities:        
Options to purchase common stock 1,429us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants      
Restricted stock units 679,755us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements      
Common stock warrants 4,477lpth_IncrementalCommonSharesAttributableToWarrants      
Diluted 15,713,892us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 14,292,976us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 14,537,727us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 13,905,376us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding