# What is the LCM of 11 and 121?

LCM of 11 and 121 is the least number which is exactly divisible by both 11 and 121.

## Answer: LCM of 11 and 121 is 121

Two methods to find LCM of 11 and 121 are explained below.

## Explanation:

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

- LCM of 11 and 121 by Formula
- LCM of 11 and 121 by Common Division Method

### Method 1: LCM of 11 and 121 by Formula

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

The Greatest Common Factor (GCF) of (11, 121) = 11

By using the formula, we get

LCM of 11 and 121 = (11 × 121) / 11

= 1 × 121

= 121

LCM (11, 121) = 121

### Method 2: LCM of 11 and 121 by Common Division Method

Follow the steps mentioned below to find the LCM of 11 and 121 by the common division method.

- Step 1: Write the numbers 11 and 121 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 them 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 11 and 121 will be the product of primes by which we have divided.

Observe that the solution to our question LCM of 11 and 121 is the same.

### Thus, LCM of 11 and 121 is 121

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