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A prism *always* has 2 bases. In case you meant "faces" instead of "bases", the prism with the smallest number of faces is the triangular prism - which has 5 faces. If there were any fewer number of faces, the prism which become a two dimensional object.
There are eight faces on a hexagonal prism.
It has 7 faces, 15 edges and 10 vertices
The number of faces determines the bases' shape.
A trapezium prism has 6 faces