# What is the LCM of 5 and 13?

LCM of 5 and 13 is the least number which is exactly divisible by both 5 and 13.

## Answer: LCM of 5 and 13 is 65

Least Common Multiple (LCM) of a and b is the smallest number that divides a and b exactly.

## Explanation:

The commonly used methods to find the LCM of 5 and 13 are listed below.

### LCM of 5 and 13 by Listing Method

List the first few multiples of 5 and 13 and identify the common multiples.

The least among the common multiples is the LCM of 5 and 13

So, by this method, LCM of 5 and 13 is 65

### LCM of 5 and 13 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (5, 13) = 1

Therefore

LCM of 5 and 13 = (5 × 13) / 1

= 65/1

= 65

LCM of 5 and 13 = 65

By both methods, the solution to our question LCM of 5 and 13 is the same.

### Thus, LCM of 5 and 13 is 65.

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