# How do you find the LCM of 15, 6?

Dec 4, 2016

30

#### Explanation:

Get the prime factors of both numbers

<pre>
15: 3 * 5
6 : 3 *2
</pre>

Align the common factors and isolate the distinct ones

<pre>
15: 3 * 5
6 : 3 * 2
</pre>

Collate the listed factors. Count the common ones, once only

<pre>
15: 3 * 5
6 : 3 * 2

: 3 * 5 * 2
</pre>

Get the resulting product of the collated factors

$3 \cdot 5 \cdot 2 = 30$