# What is the LCM of 15 and 35?

LCM of 15 and 35 is the least possible number which is exactly divisible by both 15 and 35. It is denoted by LCM(15, 35).

## Answer: LCM of 15 and 35 is 105

Lets see how to find the LCM of 15 and 35

## Explanation:

The least common multiple is the smallest possible number that exactly divides the given numbers.

## Common Methods to Find LCM of 15 and 35

Let us use the following methods to find the LCM of 15 and 35

- Listing the Multiples
- Formula

### Listing Method To Calculate LCM of 15 and 35

First, we list the first few multiples of 15 and 35 and identify the common multiples.

LCM(15, 35) is the least among the common multiples of 15 and 35.

### LCM of 15 and 35 by Formula

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

The Greatest Common Factor(GCF) of (15, 35) = 5

Therefore

LCM of 15 and 35 = (15 × 35) / 5

= 525/5 = 105

LCM of 15 and 35 = 105

Irrespective of the method, the solution of LCM of 15 and 35 is the same.

### Therefore, LCM of 15 and 35 is 105

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