# What is LCM of 7 and 35?

LCM of 7 and 35 is the least number which is exactly divisible by both 7 and 35

## Answer: LCM of 7 and 35 is 35

Let us explore more about the LCM of two numbers.

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

We will use the following two methods to find the LCM of 7 and 35.

- LCM of 7 and 35 by Listing Method
- LCM of 7 and 35 by the theoretical method

### Method 1: Find LCM of 7 and 35 by Listing Method

In this method, we list the first few multiples of 7 and 35 and identify the common multiples.

The least among the common multiples is the LCM of 7 and 35

Multiples of 7 are 7 14 21 28 ** 35** 42 49 etc

Multiples of 35 are ** 35** 70 105 etc

Therefore, the least common multiple of 7 and 35 is 35.

### Method 2: Find LCM of 7 and 35 by Common Division Method

In this division method, we follow a 2-step process,

- Divide the numbers simultaneously with prime numbers
- Stop it when we don't have a prime number to divide the given numbers.

Irrespective of the method, the answer to question LCM of 7 and 35 is the same.

### Thus, LCM of 7 and 35 is 35

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