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.
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
Prime Factorization and Division Method for LCM and HCF
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
What is the LCM of 2 and 3?
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
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