# What is the LCM of 2 and 5?

LCM of 2 and 5 is the least number which is exactly divisible by both 2 and 5.

## Answer: LCM of 2 and 5 is 10

Lets see how to find the LCM of 2 and 5

## Explanation:

The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

Two methods to find LCM of 2 and 5 are explained below.

## Methods to Find LCM of 2 and 5

Let us use the following methods to find the LCM of 2 and 5

- Formula
- Common Division

### LCM of 2 and 5 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (2,5) = 1

By using the formula, we get

LCM of 2 and 5 = (2 × 5) / 1

= 10/1 = 10

LCM (2,5) = 10

### LCM of 2 and 5 by Common Division Method

Follow the steps mentioned below to find the LCM of 2 and 5 by the common division method.

- Step 1: Write the numbers 2 and 5 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 2 and 5 will be the product of primes by which we have divided.

Observe that the solution to our question LCM of 2 and 5 is the same.

### Therefore, LCM of 2 and 5 is 10

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