# What is LCM of 2 and 20?

The LCM of 2 and 20 is the least number which is exactly divisible by both 2 and 20. There are 3 methods to find the LCM of 2 and 20 i.e. by listing multiples, prime factorization, and using GCF of 2 and 20.

## Answer: LCM of 2 and 20 is 20

** Explanation: **

The Least Common Multiple is the smallest number which is exactly divisible by the given numbers. We can calculate the LCM of 2 and 20 in many ways, the most commonly used methods are listed below.

## Methods to Find LCM of 2 and 20

The methods to compute the LCM of 2 and 20 are explained below.

### LCM of 2 and 20 using GCF

The LCM Formula is LCM(X, Y) = (X × Y) / GCF(X, Y)

- 2 × 20 = 40
- GCF(2, 20) = 2

Therefore, the LCM of 2 and 20 = LCM(2, 20) = (2 × 20)/GCF(2, 20) = 40/2 = 20

### LCM of 2 and 20 by Listing Some Multiples

In this method, we list the first few multiples of 2 and 20 and identify the common multiples. The least among the common multiples is the LCM of 2 and 20.

**Multiples of 2:**2, 4, 6, 8, 10, 12, 14, 16, 18, 20**Multiples of 20:**20, 40, 60, 80, 100, 120, 140, 160, 180, 200

We find that the 10^{th} multiple of 2 is common with the 1^{st} multiple of 20. This number 20 is the least common multiple (LCM).

### LCM of 2 and 20 by Common Division Method

In this method, we divide 2 and 20 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 2 and 20.

### Therefore, the LCM of 2 and 20 is 20.

**☛ Also Check:**

- LCM of 9, 12 - LCM(9, 12) = 36
- LCM of 8, 15 - LCM(8, 15) = 120
- LCM of 3, 4, 6 - LCM(3, 4, 6) = 12
- LCM of 15, 20 - LCM(15, 20) = 60
- LCM of 144, 180, 192 - LCM(144, 180, 192) = 2880
- LCM of 6, 9, 15 - LCM(6, 9, 15) = 90
- LCM of 12, 15, 18 - LCM(12, 15, 18) = 180