LCM of 2 and 3

LCM of 2 and 3 is 6. LCM is a method used to find the smallest multiple that is common for the given positive integers. The first few multiples of 2 and 3 are (2, 4, 6, 8,10….) and (3, 6, 9, 12, 15….). Refer to LCM of Two Numbers to learn the tricks of finding the Least Common Multiple of two numbers using various methods. Let us learn in detail how to determine the Least Common Multiple of 2 and 3 with examples and FAQs in this article.

What is LCM of 2 and 3?

The answer to this question is 6. 

LCM of 2 and 3

How to Find LCM of 2 and 3?

We can find the LCM of 2 and 3 by following methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 2 and 3 Using Prime Factorisation Method

In this method, we can find the least common multiple of 2 and 3 by multiplying prime factors as shown below:

2 = 2 

3 = 3

LCM (2, 3) = 6

LCM of 2 and 3 Using Division Method

To calculate the LCM of 2 and 3 using division method, we divide the numbers 2 and 3 by their prime factors. The least common multiple of 2 and 3 is the product of these divisors. 

2

2

3

3

1

3

x

1

1

No more further division can be done. 

Hence, LCM (2, 3) = 2 × 3 = 6

LCM of 2 and 3 Using Listing the Multiples

As the name suggests, we need to list out the multiples of 2 and 3 to obtain their least common multiple. This can be done as below.

Multiples of 2

Multiples of 3

2

3

4

6

6

9

8

12

LCM (2, 3) = 6

Related Articles

Least Common Multiple (LCM)

HCF and LCM

LCM calculator

Prime Factorization and Division Method for LCM and HCF

LCM Formula

LCM with Examples

Video Lesson on Applications of LCM

Solved Examples

Q.1: Find the LCM of 2 and 3 by listing the multiples.

Solution: First let us list the multiples of 2 and 3

Multiples of 2 = 2, 4, 6, 8, 10, 12…….

Multiples of 3 = 3, 6, 9, 12, 15,18……….

The LCM is 6.

Hence, the least common multiple of 2 and 3 is 6.

Q.2: 1 and 6 are the GCD and LCM of two numbers. If one number is 2, find the other number.

Solution: Let the other number be a

GCD × LCM = 2 × a

a = (GCD × LCM)/2

a = (1 × 6)/2

a = 3

Thus the other number is 3.

Frequently Asked Questions on LCM of 2 and 3

Q1

What is the LCM of 2 and 3?

The LCM of 2 and 3 is 6.
Q2

What are the methods to find the LCM of 2 and 3? Name them.

The methods used to find the LCM of 2 and 3 are as follows:

Prime Factorization Method

Division method

Listing the multiples

Q3

6 is the LCM of 2 and 3. True or False.

True. The LCM of 2 and 3 is 6.

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