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Family name Smoke (Smoke , Smoko , Schmoke ) , all over the world, is quite a rare last name. The last name Smoke is characteristic of Zimbabwe, where it is quite a rare surname, Ghana, where it is a rare surname, and Canada. Not in comparison with a country's population, the name is most common in the United States, Indonesia, and Canada. Much less frequently, Smoke is the forename as well as the last name.