LCM of 18 and 54 is 54. The lowest common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. Professional teachers designed the article Least Common Multiple (LCM) for students to enhance their knowledge based on the LCM concept. The main purpose of creating this article is to enable students to self analyse the areas which require more practice from the exam perspective. Learn how to verify the least common multiple of 18 and 54 with solved examples and FAQs here.
What is LCM of 18 and 54?
The Least Common Multiple of 18 and 54 is 54.
How to Find LCM of 18 and 54?
The LCM of 18 and 54 can be determined by using the following methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 18 and 54 Using Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Hence the numbers 18 and 54 can be expressed as;
18 = 2 × 3 × 3
54 = 2 × 3 × 3 × 3
LCM (18, 54) = 2 × 3 × 3 × 3 = 54
LCM of 18 and 54 Using Division Method
In the division method, to find the LCM, we divide the numbers 18 and 54 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 18 and 54.
| 2 | 18 | 54 |
| 3 | 9 | 27 |
| 3 | 3 | 9 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (18, 54) = 2 × 3 × 3 × 3 = 54
LCM of 18 and 54 Using Listing the Multiples
In this method, we list down the multiples of given natural numbers to find the least common multiple among them. The below table shows the multiples of 18 and 54.
| Multiples of 18 | Multiples of 54 |
| 18 | 54 |
| 36 | 108 |
| 54 | 162 |
| 72 | 216 |
LCM (18, 54) = 54
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 18 and 54?
Solution: 54 is the smallest number that is divisible by both 18 and 54.
2. What is the lowest common factor of 18 and 54?
Solution: The lowest common factor of 18 and 54 is 54.
Frequently Asked Questions on LCM of 18 and 54
What is the LCM of 18 and 54?
What is the difference between the LCM of 18 and 54 and the HCF of 18 and 54?
How do you find the LCM of 18 and 54 by the prime factorisation method?
Here, the numbers are expressed as the product of prime factors. Hence the numbers 18 and 54 can be expressed as;
18 = 2 × 3 × 3
54 = 2 × 3 × 3 × 3
LCM (18, 54) = 2 × 3 × 3 × 3 = 54
Therefore the LCM of 18 and 54 by prime factorisation is 54
Mention the methods used to find the LCM of 18 and 54.
The following methods are used to find the LCM of 18 and 54
Prime Factorisation
Division Method
Listing the Multiples
Write the relation between the GCF and the LCM of 18 and 54.
The relation between the GCF and the LCM of 18 and 54 is
GCF × LCM = 18 × 54
GCF × LCM = 972
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