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Earnings Per Share ("EPS") - Factors Used in Earnings Per Common Share Computation (Detail) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Jun. 30, 2021	Jun. 30, 2020
Earnings Per Share [Abstract]
Net income	$ 5,347	$ 4,245
Basic weighted average shares outstanding	3,240,376	3,324,657
Less: Average unallocated ESOP shares	(202,073)	(221,318)
Average shares outstanding	3,038,303	3,103,339
Diluted effect of restricted stock awards and stock options	40,564	44,693
Diluted average shares outstanding	3,078,867	3,148,032
Basic earnings per common share	$ 1.76	$ 1.37
Diluted earnings per common share	$ 1.74	$ 1.35

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