# What is the LCM of 49 and 63?

LCM of 49 and 63 is the counting number that is divisible by 49 and 63 with no remainders.

## Answer: LCM of 49 and 63 is 441.

We will learn two methods to find LCM of 49 and 63

## Explanation:

Least Common Multiple of 49 and 63 is the least number which is exactly divisible by 49 and 63.

- LCM of 49 and 63 by Listing Common Multiples
- LCM of 49 and 63 by Common Division Method

### Method1: LCM of 49 and 63 by Listing Common Multiples

Look at the multiples of 49 and 63.

Multiples of 49 = 49, 98, ...,441,490, ...

Multiples of 63 = 63, 126, ..., 441, 504, ...

We can see, the lowest common multiple of 49 and 63 is 441.

Therefore, LCM of 49 and 63 is 441.

### Method2: LCM of 49 and 63 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 49 and 63

LCM(49, 63) = (49 × 63) / HCF (49, 63)

LCM(49, 63) = 3087/7

LCM(49, 63) = 441