Given a=2n⋅32a = 2^n \cdot 3^2a=2n⋅32 and b=23⋅3mb = 2^3 \cdot 3^mb=23⋅3m. If GCD(a,b)=22⋅32\text{GCD}(a, b) = 2^2 \cdot 3^2GCD(a,b)=22⋅32 and LCM(a,b)=24⋅33\text{LCM}(a, b) = 2^4 \cdot 3^3LCM(a,b)=24⋅33, find the values of nnn and mmm.
n=4,m=3n = 4, m = 3n=4,m=3
n=2,m=3n = 2, m = 3n=2,m=3
n=4,m=2n = 4, m = 2n=4,m=2
n=3,m=3n = 3, m = 3n=3,m=3