# What is The LCM of 37 and 49?

The least common multiple of 37 and 49 is the least number which is exactly divisible by both 37 and 49

## Answer: LCM of 37 and 49 is 1813

## Explanation:

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

We can find the LCM of the numbers in many ways.

### Find LCM of 37 and 49 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (37, 49) is 1. So, GCF (37, 49) = 1

So, the LCM of 37 and 49 by using the formula,

LCM (37, 49) = (37 × 49) / 1

= 1813/1

= 1813

LCM of 37 and 49 = 1813

### Find LCM of 37 and 49 by Common Division Method

Follow the steps mentioned below to find the LCM of 37 and 49 by the common division method.

- Step 1: Write the numbers 37 and 49 horizontally by separating them with a comma.
- Step 2: Choose the smallest prime number that divides at least any one of them.
- Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring it down directly.
- Step 4: We will stop it when we don't have a prime number to divide the given numbers.
- Step 5: Least common multiple of 37 and 49 will be the product of primes by which we have divided.

So, using the common division method, LCM of 37 and 49 is 1813

Irrespective of the method, the solution to our question LCM of 37 and 49 is the same.