# What is LCM of 35 and 60?

LCM of 35 and 60 is the least number which is exactly divisible by both 35 and 60

## Answer: LCM of 35 and 60 is 420

Let us calculate LCM of 35 and 60

## Explanation:

The least common multiple is the minimum possible number which is exactly divisible by both the given numbers.

We will use the following two methods to find the LCM of 35 and 60.

- LCM of 35 and 60 by Listing Method
- LCM of 35 and 60 by the Common Division Method

### Method 1: Calculate LCM of 35 and 60 by Listing Method

Here, we list the first few multiples of 35 and 60 and identify the common multiples.

The least among the common multiples is the LCM of 35 and 60

Multiples of 35 are 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, ** 420**, 455, 490 etc

Multiples of 60 are 60, 120, 180, 240, 300, 360, ** 420**, 480, 540 etc

Therefore, the least common multiple of 35 and 60 is 420.

### Method 2: Calculate LCM of 35 and 60 by Common Division Method

In common division, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to further divide the given numbers.

LCM of 35 and 60 is equal to 420 always irrespective of the method.