# What is the LCM of 35 and 49?

LCM of 35 and 49 is the smallest number which divides both 35 and 49 exactly without a remainder.

## Answer: LCM of 35 and 49 is 245

## Explanation

For 35 and 49, the smallest number which would be perfectly divisible by them is their LCM which is 245. Let us see how to calculate it below:

Least Common Multiple of 35 and 49 is the smallest number which will divide 35 and 49 exactly.

### LCM of 35 and 49 by Listing Method

List the first few multiples of 35 and 49 and find the common multiples.

- Multiples of 35 are 35, 70, 105, 140, 175, 210,
**245**, 280, 315,... - Multiples of 49 are 49, 98, 147, 196,
**245**, 294, 343,...

We see that 245 is the first common multiple which is also the LCM of 35 and 49.

### LCM of 35 and 49 by Common Division Method

Here we will divide the numbers 35 and 49 simultaneously with prime numbers until we don't have a prime number to further divide both 35 and 49.

So, using the common division method, multiplying the prime factors we have LCM (35, 49) = 245