Answer
The least common multiple of the two numbers is $360$.
Work Step by Step
Factor each number to obtain:
$72=9(8)=3(3)(2)(2)(2)=3(3)(2)(2)(2)
\\120=3(40)=3(5)(8)=3(5)(2)(2)(2)=5(3)(2)(2)(2)$
Thus, the least common multiple of the two numbers is $5(3)(3)(2)(2)(2)=360$.