LCM of 4 and 6 is 12. A method to find the smallest common multiple between any two or more numbers is known as Least Common Multiple (LCM). We can derive the LCM of 4 and 6 by listing multiples, by prime factorization method and by division method. The article Least Common Multiple (LCM) is an essential resource for students to learn the method of finding the LCM of given numbers in an efficient manner. Learn how to find the Least Common Multiple of 4 and 6 using simple steps in this article.
What is LCM of 4 and 6?
The answer to this question is 12.
How to Find LCM of 4 and 6?
We can find the LCM of 4 and 6 by using the following methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 6 Using Prime Factorisation Method
LCM of 4 and 6 by prime factorisation method can be determined by multiplying prime factors raised to their respective highest power.
4 = 2 × 2
6 = 2 × 3
LCM (4, 6) = 2 × 2 × 3 = 12
LCM of 4 and 6 Using Division Method
To find the LCM of 4 and 6 using division method, we divide the numbers 4 and 6 by their prime factors. The product of these divisors depicts the least common multiple of 4 and 6.
| 2 | 4 | 6 |
| 2 | 2 | 3 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (4, 6) = 2 × 2 × 3 = 12
LCM of 4 and 6 Using Listing the Multiples
In this method, we list out the multiples of 4 and 6 to calculate the least common multiple of 4 and 6.
| Multiples of 4 | Multiples of 6 |
| 4 | 6 |
| 8 | 12 |
| 12 | 18 |
| 16 | 24 |
| 20 | 30 |
| 24 | 36 |
LCM (4, 6) = 12
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 4 and 6 using the listing method.
Solution: Let us first list the multiples of given numbers
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28 ….
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42…..
Here, the first common multiple is 12
Hence, LCM of 4 and 6 is 12.
Q.2: The product of the two numbers is 24. If their GCD is 2, find their LCM.
Solution: Given
GCD = 2 and Product of two numbers = 24
We know that
LCM × GCD = Product of two numbers
LCM = Product of two numbers/GCD
LCM = 24/2
LCM = 12
Hence, their LCM is 12.
Frequently Asked Questions on LCM of 4 and 6
Write the LCM of 4 and 6.
Mention the methods used to find the LCM of 4 and 6.
The methods used to find the LCM of 4 and 6 are as follows:
Prime Factorization Method
Division method
Listing the multiples
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