Given that $n$ is a positive integer, and given that $\mathop{\text{lcm}}[24,n]=72$ and $\mathop{\text{lcm}}[n,27]=108$, what is $n$?
\({\text{lcm}}[24,n]=72\)
\({\text{lcm}}[n,27]=108\)
GCD [ 72, 108 ] = 36 = n
thanks