2013 UNCO Math Contest II Problems/Problem 2
Problem
EXAMPLE: The number is equal to
and also equal to
, so
is both a perfect square and a perfect cube.
(a) Find the smallest positive integer multiple of
that is a perfect square.
(b) Find the smallest positive integer multiple of
that is a perfect cube.
(c) Find the smallest positive integer multiple of
that is both a perfect square and a perfect cube.