#### Answer

48

#### Work Step by Step

Multiples of 16: 16, 32, 48, 64, 80
In order to find the LCM of 12 and 16, we must find the first multiple of 16 that is also divisible by 12.
16 and 32 are not divisible by 12.
$48\div12=4$
Therefore, 48 is the LCM of 12 and 16.