Let m and n be positive integers satisfying the conditions

\operatorname{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.
Let m and n be positive integers satisfying the conditions
\operatorname{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.