# What is the LCM of 49 and 13?

LCM of 49 and 13 is the smallest number which divides both 49 and 13 exactly without a remainder.

## Answer: LCM of 49 and 13 is 637.

## Explanation

For 49 and 13, the smallest number which would be perfectly divisible by them is their LCM which is 637. Let us see how to calculate it below:

Least Common Multiple is the smallest number which will divide 49 and 13 exactly.

### LCM of 49 and 13 by Listing Method

List the first few multiples of 49 and 13 and find the common multiples.

- Multiples of 49 are 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588,
**637**, 686, 735, ... - Multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325, 338, 351, 364, 377, 390, 403, 416, 429, 442, 455, 468, 481, 494, 507, 520, 533, 546, 559, 572, 585, 598, 611, 624,
**637**, 650, 663, ...

The smallest among the common multiples is the LCM of 49 and 13, which in the above case we can see is 637. So, 167 is the LCM of 49 and 13

### LCM of 49 and 13 by Common Division Method

Here we will divide the numbers 49 and 13 simultaneously with prime numbers until we don't have a prime number to further divide both 49 and 13.

The product of the prime factors used is the LCM of 713 and 49.

So, LCM of 49 and 13 is 637