LCM of 2 and 20 is 20. In Mathematics, LCM stands for least common multiple. The article LCM of Two Numbers explains the LCM concept in an interactive way to provide the best learning experience for the students. Practising the problems based on the LCM concept on a regular basis boosts students’ confidence in solving tricky problems with ease. Here, we will learn how to find the least common multiple of 2 and 20 using prime factorisation, division method and a list of multiples.
What is LCM of 2 and 20?
The Least Common Multiple of 2 and 20 is 20.
How to Find LCM of 2 and 20?
The LCM of 2 and 20 can be determined by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 2 and 20 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 2 and 20 can be represented as;
2 = 2
20 = 2 × 2 × 5
LCM (2, 20) = 2 × 2 × 5 = 20
LCM of 2 and 20 Using Division Method
In the division method, we divide the numbers 2 and 20 by their prime factors until we get the result as one in the complete row. The product of these divisors gives the least common multiple of 2 and 20.
| 2 | 2 | 20 |
| 2 | 1 | 10 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Therefore, LCM (2, 20) = 2 × 2 × 5 = 20
LCM of 2 and 20 Using Listing the Multiples
Here, we list down the multiples of given natural numbers to find the lowest common multiple among them. The below table shows the multiples of 2 and 20.
| Multiples of 2 | Multiples of 20 |
| 2 | 20 |
| 4 | 40 |
| 6 | 60 |
| 8 | 80 |
| 10 | 100 |
| 12 | 120 |
| 14 | 140 |
| 16 | 160 |
| 18 | 180 |
| 20 | 200 |
LCM (2, 20) = 20
Related Articles
- HCF and LCM
- LCM calculator
- Prime Factorization and Division Method for LCM and HCF
- LCM Formula
- LCM with Examples
- Least Common Multiple (LCM)
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 2 and 20?
Solution: 20 is the smallest number that is divisible by both 2 and 20.
2. The GCD and LCM of the two numbers are 2 and 20. If one number is 20, what is the other number?
Solution: Let the other number be k
We know that,
GCD × LCM = 20 × k
k = (GCD × LCM) / 20
k = (2 × 20) / 20
k = 2
Hence the other number is 2.
Frequently Asked Questions on LCM of 2 and 20
What is the LCM of 2 and 20?
What are the methods used to find the LCM of 2 and 20?
The following methods are used to find the LCM of 2 and 20:
Prime Factorisation
Division Method
Listing the Multiples
2 is the HCF of 2 and 20. True or False.
Using prime factorisation, find the LCM of 2 and 20.
In prime factorisation, the numbers are expressed as the product of prime factors to determine the LCM
2 = 2
20 = 2 × 2 × 5
LCM (2, 20) = 2 × 2 × 5 = 20
Comments