If gcd(a,b)=6\gcd(a, b) = 6gcd(a,b)=6 and a⋅b=432a \cdot b = 432a⋅b=432, find lcm(a,b)\text{lcm}(a, b)lcm(a,b).
lcm(a,b)=36\text{lcm}(a, b) = 36lcm(a,b)=36
lcm(a,b)=48\text{lcm}(a, b) = 48lcm(a,b)=48
lcm(a,b)=72\text{lcm}(a, b) = 72lcm(a,b)=72
lcm(a,b)=108\text{lcm}(a, b) = 108lcm(a,b)=108