# What is the LCM of 7 and 56?

__LCM __(__Least Common Multiple__) of two numbers is the smallest number which is exactly divisible by the two numbers.

## Answer: LCM of 7 and 56 is 56

LCM of 7 and 56 is the least number which is exactly divisible by both 7 and 56.

## Explanation:

We can find the LCM (7, 56) by the following methods:

- Listing Multiples method
- Common division method

### Method 1: LCM of 7 and 56 by Listing Multiples Method

In this method, we will list the first few multiples of 7 and 56

After that, we will identify the common multiples of 7 and 56

The least among the common multiples is the LCM of 7 and 56.

- Multiples of 7: 7, 14, 21, 28, 35, 42, 49,
, 63, 70**56** - Multiples of 56:
, 112, 168__56__

So, LCM (7, 56) = 56

### Method 2: LCM of 7 and 56 by Common Division Method

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

LCM of 7 and 56 is** **2 × 2 × 2 × 7 which is equal to 56.

Irrespective of the method, the solution to our question LCM of 7 and 56 is the same.

### Therefore, LCM of 7 and 56 is 56

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