East Boston Savings Bank, which has 27 branches, plans to open three more retail offices in Massachusetts next year.

The Boston bank said Wednesday that it plans to open two branches in January, one at 181 Brighton Ave. in Boston’s Allston neighborhood and a second at 70 Concord Ave. in Belmont. The Allston branch will operate as part of Mt. Washington Bank, which East Boston Savings Bank took over in 2009.

The bank plans to open a third branch in Somerville’s Union Square in the second quarter of 2013.

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Separately, the bank said it leased 12,000 square feet of office space in Malden for its loan operations.