# What is the least common multiple of 6 and 16?

Apr 7, 2018

The answer is $48$.

#### Explanation:

To calculate the least common multiple of two positive integers, you find the prime factors of each, and take each distinct factor to the highest power it occurs in either decomposition. For example:

$6 = 3 \setminus \cdot 2$

$16 = {2}^{4}$

And therefore: $\lcm \left(6 , 16\right) = 3 \setminus \cdot {2}^{4} = 48$.