LCM of 2 and 8 is 8. The smallest number that is a common multiple of a given set of numbers is defined as the least common multiple. The article LCM of Two Numbers focuses on learning concepts and understanding the basics. This would help students to build a stronger foundation for further studies. The article crafted by experts helps students in a clear understanding of concepts covered in the textbook. Let us have a glance at how to find the least common multiple of 2 and 8 in a detailed format in this article.
What is LCM of 2 and 8?
The answer to this question is 8.
How to Find LCM of 2 and 8?
The following methods are used to find the LCM of 2 and 8:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 8 Using Prime Factorisation Method
By prime factorisation method, we can write 2 and 8 as the product of prime numbers, such that;
2 = 2
8 = 2 × 2 × 2
LCM (2, 8) = 2 × 2 × 2 = 8
LCM of 2 and 8 Using Division Method
In this method, we divide the numbers 2 and 8 by their prime factors to find their LCM. The product of these divisors represents the least common multiple of 2 and 8.
|
2 |
2 |
8 |
|
2 |
1 |
4 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
No more further division can be done.
Thus, LCM (2, 8) = 2 × 2 × 2 = 8
LCM of 2 and 8 Using Listing the Multiples
|
Multiples of 2 |
Multiples of 8 |
|
2 |
8 |
|
4 |
16 |
|
6 |
24 |
|
8 |
32 |
|
10 |
40 |
|
12 |
48 |
LCM (2, 8) = 8
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: Which of the following is the LCM of 2 and 8?
20, 8, 30, 35
Solution: The number 8 is the LCM of 2 and 8.
Q. 2: What is the GCF of 2 and 8?
Solution: The GCF of 2 and 8 is 2.
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