Question 10
Let $m$ and $n$ be positive integers satisfying the conditions
• $\gcd(m + n, 210) = 1,$
• $m^m$ is a multiple of $n^n,$ and
• $m$ is not a multiple of $n.$
Find the least possible value of $m + n.$
• $\gcd(m + n, 210) = 1,$
• $m^m$ is a multiple of $n^n,$ and
• $m$ is not a multiple of $n.$
Find the least possible value of $m + n.$