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Loans and Allowance for Loan Losses - Allowance for Loan Losses and Recorded Investment in Loans Based on Portfolio Segment and Impairment Method (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended 12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Jun. 30, 2021
Allowance for loan losses:          
Balance, beginning of year $ 6,395 $ 6,449 $ 6,599 $ 6,234 $ 6,234
Provision charged to expense 242 (101) 39 165 844
Losses charged off (32) (7) (50) (78) (513)
Recoveries 6 10 23 30 34
Balance, end of period 6,611 6,351 6,611 6,351 6,599
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 6,611 6,351 6,611 6,351 6,599
Loans:          
Ending balance 505,712 511,318 505,712 511,318 520,526
Ending balance: individually evaluated for impairment 1,114 1,393 1,114 1,393 1,298
Ending balance: collectively evaluated for impairment 504,598 509,925 504,598 509,925 519,228
One- to four-family [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,082 1,011 967 1,044 1,044
Provision charged to expense (13) (56) 101 (76) (64)
Losses charged off (26) 0 (26) (15) (15)
Recoveries 0 0 1 2 2
Balance, end of period 1,043 955 1,043 955 967
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,043 955 1,043 955 967
Loans:          
Ending balance 124,590 116,363 124,590 116,363 117,435
Ending balance: individually evaluated for impairment 1,076 1,328 1,076 1,328 1,252
Ending balance: collectively evaluated for impairment 123,514 115,035 123,514 115,035 116,183
Multi-family [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,400 1,744 1,674 1,514 1,514
Provision charged to expense 27 (3) (247) 227 160
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 1,427 1,741 1,427 1,741 1,674
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,427 1,741 1,427 1,741 1,674
Loans:          
Ending balance 88,566 105,895 88,566 105,895 104,433
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 88,566 105,895 88,566 105,895 104,433
Home equity lines of credit [Member]          
Allowance for loan losses:          
Balance, beginning of year 62 79 67 87 87
Provision charged to expense 4 0 (1) (8) (20)
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 66 79 66 79 67
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 66 79 66 79 67
Loans:          
Ending balance 6,600 7,814 6,600 7,814 6,688
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 6,600 7,814 6,600 7,814 6,688
Construction [Member]          
Allowance for loan losses:          
Balance, beginning of year 299 130 258 240 240
Provision charged to expense 60 69 101 (41) 18
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 359 199 359 199 258
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 359 199 359 199 258
Loans:          
Ending balance 31,127 20,783 31,127 20,783 25,345
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 31,127 20,783 31,127 20,783 25,345
Commercial [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,962 1,782 1,831 1,706 1,706
Provision charged to expense 4 (24) 135 52 125
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 1,966 1,758 1,966 1,758 1,831
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,966 1,758 1,966 1,758 1,831
Loans:          
Ending balance 165,132 149,639 165,132 149,639 155,884
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 165,132 149,639 165,132 149,639 155,884
Commercial [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,521 1,636 1,740 1,583 1,583
Provision charged to expense 154 (80) (77) 1 611
Losses charged off 0 0 0 (40) (473)
Recoveries 4 4 16 16 19
Balance, end of period 1,679 1,560 1,679 1,560 1,740
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,679 1,560 1,679 1,560 1,740
Loans:          
Ending balance 81,399 103,326 81,399 103,326 103,088
Ending balance: individually evaluated for impairment 38 65 38 65 46
Ending balance: collectively evaluated for impairment 81,361 103,261 81,361 103,261 103,042
Consumer [Member]          
Allowance for loan losses:          
Balance, beginning of year 69 67 62 60 60
Provision charged to expense 6 (7) 27 10 14
Losses charged off (6) (7) (24) (23) (25)
Recoveries 2 6 6 12 13
Balance, end of period 71 59 71 59 62
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 71 59 71 59 62
Loans:          
Ending balance 8,298 7,498 8,298 7,498 7,653
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment $ 8,298 $ 7,498 $ 8,298 $ 7,498 $ 7,653