# What is the LCM of 10 and 35?

LCM of 10 and 35 is the smallest number which is exactly divisible by 10 and 35.

## Answer: LCM of 10 and 35 is 70

Let us see how to find the LCM of 10 and 35

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- by Formula

Least Common Multiple of 10 and 35 would be the smallest number which is divisible by both 10 and 35 without any remainder.

Listed below are two methods to find the LCM of 10 and 35

## Methods to Find LCM of 10 and 35

### Method 1: LCM of 10 and 35 by Division Method:

In this division method, we divide 10 and 35 simultaneously with prime numbers and stop it only when we don't have any more prime numbers to divide them further.

So, the least common multiple of 10 and 35 is given by 2 × 5 × 7 = 240. This means LCM(10, 35) = 70

### Method 2: LCM of 10 and 35 by Formula

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

The Greatest Common Factor of (10, 35) = 5

Therefore

LCM of 10 and 35 = (10 × 35) / 5

= 350/5 = 70

LCM of 10 and 35 = 70