#### Answer

$36$

#### Work Step by Step

Factor each number completely to obtain:
$9= 3 \cdot 3
\\12 = 2 \cdot 2 \cdot 3$
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: two times
For 3: two times
The least common multiple will have two 2s and two 3s.
Thus, the least common multiple of the given numbers is:
$=2 \cdot 2\cdot 3 \cdot 3
\\= 36$