Question

What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?

Answer 1

Short answer 2 * 2 * 2 * 3 * 3

When you multiply by 2 you get 144 which is a perfect square.
When you multiply by 3 you get 216 which is a perfect cube

So the answer is 2 * 2 * 2 * 3 * 3 = 72