# What is the LCM of 25 and 50?

LCM of 25 and 50 is the smallest number which is exactly divisible by both 25 and 50.

## Answer: LCM of 25 and 50 is 50

Explanation:

Least Common Multiple of two numbers p and q is the smallest number that divides p and q exactly.

We can find the LCM of the numbers in many ways. Two methods to find the LCM of 25 and 50 are listed below.

### Listing the common Multiples Method to find the LCM of 25 and 50

Let us list the first few multiples of 25 and 50 and identify the common multiples.

the least among them is the LCM of 25 and 50

We see that 50 itself is a multiple of 25

LCM of 25 and 50 is 50.

### Formula to Find LCM of 25 and 50

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

The Greatest Common Factor of (25,50) = 25

Therefore

LCM (25, 50) = (25 × 50) / GCF (25, 50)

= (25 × 50) / 25

= 1250/25

= 50

LCM of 25 and 50 = 50

So, LCM of 25 and 50 is 50

Using any of the methods, the solution to our question LCM of 25 and 50 is the same.