# What is the LCM of 125 and 175?

To find the LCM of 125 and 175, we need the least number which is exactly divisible by both 125 and 175.

## Answer: LCM of 125 and 175 is 875

The Least Common Multiple (LCM) of two numbers a and b is the smallest number which is divisible by a and b exactly.

## Explanation:

We can find the LCM of the numbers in the following two ways.

### Method 1: Find LCM of 125 and 175 by Listing Method

We list the first few multiples of 125 and 175 and then identify the common multiples of 125 and 175

The least among the common multiples is the LCM of 125 and 175.

### Method 2: Find LCM of 125 and 175 by Common Division Method

Follow the steps mentioned below to find the LCM of 125 and 175 by the common division method.

Step 1: Write the numbers 125 and 175 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 125 and 175 will be the product of primes by which we have divided.

So, using the common division method, LCM of 125 and 175 is 875.

Observe that the solution to our question LCM of 125 and 175 is the same in both methods.