What is the smallest perfect cube that has a factor of 4725?

Question

Factors of 4725 are 3,3,3,5,5,7
I have 3^3 and 5^2 and 7. So I need 1 more 5 and 2 more of 7

So: 3^3*5^3*7^3
= 1157625
When I cube root 1157625 it is 105. So is this the answer?

The smallest perfect cube that has a factor of 4725 is 1157625

Answer 1

looks good to me.

Answer 2

Ok thank you!