LCM of 2 and 10 is 10. The least common multiple is defined as the smallest common multiple of two or more numbers. Students who want to grasp the LCM concept thoroughly are advised to refer to Least Common Multiple (LCM) which is crafted by subject matter experts in a simple language. The detailed explanation of the LCM concept with suitable examples in this article helps students to attain good score in exams. In this article, let us learn how to verify the least common multiple of 2 and 10 with a complete explanation.
What is LCM of 2 and 10?
The Least Common Multiple of 2 and 10 is 10.
How to Find LCM of 2 and 10?
The below methods can be used to find the LCM of 2 and 10 in a precise manner:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 10 Using Prime Factorisation Method
The LCM of 2 and 10 by the prime factorisation method can be determined by multiplying prime factors raised to their respective highest power.
2 = 2
10 = 2 × 5
LCM (2, 10) = 2 × 5 = 10
LCM of 2 and 10 Using Division Method
We divide the numbers 2 and 10 by their prime factors until we get the result as one in the complete row to verify the least common multiple of 2 and 10 in this method. This is shown as below.
| 2 | 2 | 10 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (2, 10) = 2 × 5 = 10
LCM of 2 and 10 Using Listing the Multiples
By listing the multiples of 2 and 10 we can determine the least common multiple of 2 and 10 easily. Let us have a look at the multiples of 2 and 10 from the table given below.
| Multiples of 2 | Multiples of 10 |
| 2 | 10 |
| 4 | 20 |
| 6 | 30 |
| 8 | 40 |
| 10 | 50 |
| 12 | 60 |
LCM (2, 10) = 10
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 2 and 10?
Solution: 10 is the smallest number that is divisible by both 2 and 10.
Q. 2: The GCD and LCM of two numbers are 2 and 10. If one number is 10, calculate the other number.
Solution: Let the other number be q
We know that,
(GCD × LCM) = 10 × q
q = (GCD × LCM) / 10
q = (2 × 10) / 10
q = 2
Hence the other number is 2.
Frequently Asked Questions on LCM of 2 and 10
What is the LCM of 2 and 10?
How do you find the LCM of 2 and 10 using prime factorisation method?
2 = 2
10 = 2 × 5
LCM (2, 10) = 2 × 5 = 10
Therefore the LCM of 2 and 10 is 10.
Is the LCM of 2 and 10 the same as the HCF of 2 and 10?
If the LCM of 2 and 10 is 10. Calculate the GCF.
We know that
LCM × GCF = 2 × 10
Given
LCM of 2 and 10 is 10
10 × GCF = 20
GCF = 2
Express the relation between GCF and LCM of 2 and 10.
The relation between GCF and LCM of 2 and 10 is
LCM × GCF = 2 × 10
LCM × GCF = 20
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