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Surname Leece (利斯 , Leece ) , all over the world, is quite a rare last name. The surname Leece is characteristic of Isle of Man, where it is quite a common surname, Brunei, where it is quite a rare surname, and Australia. Not in comparison with a country's population, this name is the most popular in the United States, the United Kingdom, and Australia. Likewise, Leece is the forename as well as the last name.