LCM of 4 and 22 is 44. The least common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. Students who are looking for the perfect guide to learn the LCM concept thoroughly are advised to use the article LCM of Two Numbers anytime as per their requirements. Expert teachers explained the concept in a precise manner that further makes learning and understanding the concept an easy task. Let us learn how to verify the least common multiple of 4 and 22 here.
What is LCM of 4 and 22?
The Least Common Multiple of 4 and 22 is 44.
How to Find LCM of 4 and 22?
We can obtain the LCM of 4 and 22 by using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 4 and 22 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 4 and 22 can be expressed as;
4 = 2 × 2
22 = 2 × 11
LCM (4, 22) = 2 × 2 × 11 = 44
LCM of 4 and 22 Using Division Method
In the division method, we divide the numbers 4 and 22 by their prime factors until we get the result as one in the complete row. The product of these divisors denotes the least common multiple of 4 and 22.
| 2 | 4 | 22 |
| 2 | 2 | 11 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Therefore, LCM (4, 22) = 2 × 2 × 11 = 44
LCM of 4 and 22 Using Listing the Multiples
Here, we list down the multiples of given natural numbers to calculate the lowest common multiple among them. The below table shows the multiples of 4 and 22.
| Multiples of 4 | Multiples of 22 |
| 4 | 22 |
| 8 | 44 |
| 12 | 66 |
| 16 | 88 |
| 20 | 110 |
| 24 | 132 |
| 28 | 154 |
| 32 | 176 |
| 36 | 198 |
| 40 | 220 |
| 44 | 242 |
LCM (4, 22) = 44
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 4 and 22?
Solution: 44 is the smallest number that is divisible by both 4 and 22.
2. The GCD and LCM of the two numbers are 2 and 44. If one number is 4. What is the other number?
Solution: Let the other number be z
We know that
GCD × LCM = 4 × z
z = (GCD × LCM) / 4
z = (2 × 44) / 4
z = 22
Therefore the other number is 22.
Frequently Asked Questions on LCM of 4 and 22
What is the LCM of 4 and 22?
What are the methods used to find the LCM of 4 and 22?
The following methods are used to find the LCM of 4 and 22:
Prime Factorisation
Division Method
Listing the Multiples
54 is the LCM of 4 and 22. True or False.
Mention the LCM of 4 and 22 and the HCF of 4 and 22.
Calculate the GCF if the LCM of 4 and 22 is 44.
GCF × LCM = 4 × 22
Given
LCM = 44
GCF × 44 = 4 × 22
GCF = 2
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