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Note 10 - Equity Compensation (Details Textual) - USD ($)
12 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Nov. 30, 2021
Nov. 30, 2019
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross 255,000      
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value $ 1,700,000 $ 2,000,000    
Proceeds from Stock Options Exercised 1,788,000 3,862,000    
Reduction of Federal Income Taxes Payable Related To Stock Option Exercise $ 1,400,000 800,000    
Reduction of Deferred Tax Asset Related to Stock Option Exercises   $ 100,000    
Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Issued in Period 31,608 43,722    
Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture $ 400,000      
Deferred Compensation Arrangement with Individual, Shares Issued 131,226 207,090    
Deferred Compensation Plan With Rabbit Trust [Member]        
Treasury Stock, Common, Shares 1,036,714 922,426    
Treasury Stock, Value $ 8,900,000 $ 7,200,000    
LSi Employee Stock Purchase Plan (ESPP) [Member]        
Employee Stock Ownership Plan (ESOP), Number of Allocated Shares 242,000   270,000  
Employee Stock Ownership Plan (ESOP), Shares Contributed to ESOP 14,000      
Restricted Stock Units (RSUs) [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross 126,834      
Share-Based Payment Arrangement, Expense $ 1,500,000 1,300,000    
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 1,400,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition 1 year 6 months      
Dividends $ 113,883 101,931    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value $ 2,700,000      
Performance Stock Units [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross 265,687      
Share-Based Payment Arrangement, Expense $ 2,200,000 2,000,000    
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 1,500,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition 2 years      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period 265,687      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value $ 11.61      
Service-based Options [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period 3 years      
Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period 10 years      
Inducement Stock Option [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period 10 years      
Share-Based Payment Arrangement, Option [Member]        
Share-Based Payment Arrangement, Expense $ 100,000 $ 300,000    
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 700,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition 2 years 5 months 1 day      
The 2019 Omnibus Award Plan [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized       5,000,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant 1,864,129      
The 2019 Omnibus Award Plan [Member] | Restricted Stock Units (RSUs) [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period 3 years      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period 126,834      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value $ 12.91      
The 2019 Omnibus Award Plan [Member] | Performance Stock Units [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period 265,687      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value $ 11.61