## Elementary Algebra

$72$
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: $=2 \cdot 2\cdot 2 \cdot 3 \cdot 3 \\= 72$