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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, 2020	Jun. 30, 2019
Earnings Per Share [Abstract]
Net income	$ 4,245	$ 3,558
Basic weighted average shares outstanding	3,324,657	3,716,924
Less: Average unallocated ESOP shares	(221,318)	(240,563)
Average shares outstanding	3,103,339	3,476,361
Diluted effect of restricted stock awards and stock options	44,693	53,856
Diluted average shares outstanding	3,148,032	3,530,217
Basic earnings per common share	$ 1.37	$ 1.02
Diluted earnings per common share	$ 1.35	$ 1.01

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