Answer
$72$
Work Step by Step
Factor each number completely to have:
$18= 2\cdot 3\cdot 3
\\24 = 2 \cdot 2 \cdot 2 \cdot 3$
The different factors that appear in the prime factorization of the given numbers are 2 and 3
The maximum number of times that each unique factor appears in the factorization is:
For 2: three times
For 3: two times
The least common multiple will have three 2s and two 3s.
Thus, the least common multiple of the given numbers is:
$=2 \cdot 2\cdot 2 \cdot 3 \cdot 3
\\= 72$
