Which is the smallest number that should be multiplied to 77175 to make it a perfect cube?

Finding prime factors of 77175

$77175 = 3 \times 3 \times 5 \times 5 \times (7 \times 7 \times 7)$

Since the prime factors 3 and 5 are not in triplets,

3 x 5 = 15 should be multiplied with 77175 so that the product is a perfect cube.