# How do you find the LCM of 2 and 13?

Apr 29, 2018

The LCM of 2 and 13 is 26

#### Explanation:

First, we list the multiples of both 2 and 13

Set 1 (2):

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

Set 2 (13):

13, 26

We can now see that 26 is the least common multiple of the two numbers as it occurs first in both sets.

May 13, 2018

$2 \times 13 = 26$

#### Explanation:

Both $2 \mathmr{and} 13$ are prime numbers.

Therefore they cannot have any factors in common (apart from 1).

The LCM has to contain both $2 \mathmr{and} 13$ as factors, so it is simpy their product.

$2 \times 13 = 26$