If a=23⋅32a = 2^3 \cdot 3^2a=23⋅32 and b=22⋅33b = 2^2 \cdot 3^3b=22⋅33, what is LCM(a,b)\text{LCM}(a, b)LCM(a,b)?
22⋅322^2 \cdot 3^222⋅32
23⋅332^3 \cdot 3^323⋅33
25⋅352^5 \cdot 3^525⋅35
26⋅362^6 \cdot 3^626⋅36