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Condensed Consolidated Statements of Cash Flows (Unaudited) (USD $)
6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Operating Activities:    
Net income $ 796,145us-gaap_NetIncomeLoss $ 657,489us-gaap_NetIncomeLoss
Adjustments to reconcile net income to net cash provided by operating activities:    
Depreciation and amortization 120,074us-gaap_DepreciationAndAmortization 87,436us-gaap_DepreciationAndAmortization
Provision for doubtful accounts   8,036us-gaap_ProvisionForDoubtfulAccounts
Warranty provision (40,674)us-gaap_ProductWarrantyExpense (83,518)us-gaap_ProductWarrantyExpense
Inventory obsolescence 22,908lrad_InventoryObsolescenceWriteDownRecoveries (33,088)lrad_InventoryObsolescenceWriteDownRecoveries
Share-based compensation 308,854us-gaap_ShareBasedCompensation 341,422us-gaap_ShareBasedCompensation
Loss on sale or impairment of patents   6,980us-gaap_ImpairmentOfIntangibleAssetsFinitelived
Changes in operating assets and liabilities:    
Accounts receivable 1,936,920us-gaap_IncreaseDecreaseInAccountsReceivable 2,190,096us-gaap_IncreaseDecreaseInAccountsReceivable
Inventories (689,050)us-gaap_IncreaseDecreaseInInventories (873,904)us-gaap_IncreaseDecreaseInInventories
Prepaid expenses and other (169,544)us-gaap_IncreaseDecreaseInPrepaidExpense 377,698us-gaap_IncreaseDecreaseInPrepaidExpense
Prepaid expenses and other, noncurrent 93,743us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets 93,750us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets
Accounts payable 206,149us-gaap_IncreaseDecreaseInAccountsPayable (478,789)us-gaap_IncreaseDecreaseInAccountsPayable
Warranty settlements (27,749)us-gaap_ProductWarrantyAccrualPayments (36,069)us-gaap_ProductWarrantyAccrualPayments
Accrued and other liabilities (2,617,351)us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities 565,906us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities
Net cash provided by operating activities 21,773us-gaap_NetCashProvidedByUsedInOperatingActivities 2,990,481us-gaap_NetCashProvidedByUsedInOperatingActivities
Investing Activities:    
Purchases of marketable securities (4,544,977)us-gaap_PaymentsToAcquireMarketableSecurities  
Capital expenditures (170,999)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (203,876)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Patent costs paid (1,087)us-gaap_PaymentsToAcquireIntangibleAssets (3,645)us-gaap_PaymentsToAcquireIntangibleAssets
Net cash used in investing activities (4,717,063)us-gaap_NetCashProvidedByUsedInInvestingActivities (207,521)us-gaap_NetCashProvidedByUsedInInvestingActivities
Financing Activities:    
Repurchase of common stock (158,740)us-gaap_PaymentsForRepurchaseOfCommonStock (248,957)us-gaap_PaymentsForRepurchaseOfCommonStock
Proceeds from exercise of stock options 107,214us-gaap_ProceedsFromStockOptionsExercised 193,064us-gaap_ProceedsFromStockOptionsExercised
Net cash used in financing activities (51,526)us-gaap_NetCashProvidedByUsedInFinancingActivities (55,893)us-gaap_NetCashProvidedByUsedInFinancingActivities
Net (decrease) increase in cash (4,746,816)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 2,727,067us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents, beginning of period 23,894,744us-gaap_CashAndCashEquivalentsAtCarryingValue 15,805,195us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents, end of period 19,147,928us-gaap_CashAndCashEquivalentsAtCarryingValue 18,532,262us-gaap_CashAndCashEquivalentsAtCarryingValue
Supplemental Disclosure of Cash Flow Information    
Cash paid for taxes   $ 100us-gaap_IncomeTaxesPaid