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Income Taxes - Reconciliation of Income Tax Expense at the Statutory Rate (Detail) - USD ($)
$ in Thousands
12 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Income Taxes Paid, Net [Abstract]    
Computed at the statutory rate $ 1,644 $ 1,550
Increase (decrease) resulting from    
Tax exempt interest (11) (8)
Cash surrender value of life insurance (102) (87)
State income taxes 570 540
Other (58) 39
Actual tax expense $ 2,043 $ 2,034
Tax rate as a percentage of pre-tax income 26.10% 27.60%