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Income Taxes - Reconciliation of Income Tax Expense at the Statutory Rate (Detail) - USD ($)
$ in Thousands
12 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Income Taxes Paid, Net [Abstract]    
Computed at the statutory rate $ 1,550 $ 1,236
Increase (decrease) resulting from    
Tax exempt interest (8) (16)
Cash surrender value of life insurance (87) (57)
State income taxes 540 441
Other 39 35
Income tax expense $ 2,034 $ 1,639
Tax rate as a percentage of pre-tax income 27.60% 27.90%