Answer
False
Work Step by Step
The prime factored form of 9 is:
$9=3\times3$
The prime factored form of 12 is:
$12=2\times2\times3$
Since the least common multiple (LCM) contains each different prime factor as many times as the most times it appears in any one of the factorizations, we obtain
LCM$=2\times2\times3\times3=36$
Therefore, the question statement is false.