LCM of 18 and 27 is 54. The smallest number among all common multiples of 18 and 27 is the LCM of 18 and 27. (18, 36, 54, 72, 90, 108, 126, etc.) and (27, 54, 81, 108, 135, etc.) are the first few multiples of 18 and 27. To find the LCM of 18 and 27, there are three typical methods: listing multiples, division method, and prime factorization. The LCM of Two Numbers in mathematics is the value that is evenly divisible by the two values.
Also read: Least common multiple
What is LCM of 18 and 27?
The answer to this question is 54. The LCM of 18 and 27 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 18 and 27, is the smallest positive integer 54 which is divisible by both 18 and 27 with no remainder.
How to Find LCM of 18 and 27?
LCM of 18 and 27 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 27 Using Prime Factorisation Method
The prime factorisation of 18 and 27, respectively, is given by:
18 = (2 × 3 × 3) = 21 × 32
27 = (3 × 3 × 3) = 33
LCM (18, 27) = 54
LCM of 18 and 27 Using Division Method
We’ll divide the numbers (18, 27) by their prime factors to get the LCM of 18 and 27 using the division method (preferably common). The LCM of 18 and 27 is calculated by multiplying these divisors.
| 2 | 18 | 27 |
| 3 | 9 | 27 |
| 3 | 3 | 9 |
| 3 | 1 | 3 |
| 1 | 1 |
No further division can be done.
Hence, LCM (18, 27) = 54
LCM of 18 and 27 Using Listing the Multiples
To calculate the LCM of 18 and 27 by listing out the common multiples, list the multiples as shown below
| Multiples of 18 | Multiples of 27 |
| 18 | 27 |
| 36 | 54 |
| 54 | 81 |
| 72 | 108 |
| 90 | 135 |
The smallest common multiple of 18 and 27 is 54.
LCM (18, 27) = 54
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Video Lesson on Applications of LCM
LCM of 18 and 27 Solved Example
Find the smallest number that is divisible by 18 and 27 exactly.
Solution:
The smallest number that is divisible by 18 and 27 exactly is their LCM.
Multiples of 18 and 27:
Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, . . . .
Multiples of 27 = 27, 54, 81, 108, 135, 162, 189, . . . .
Therefore, the LCM of 18 and 27 is 54.
Frequently Asked Questions on LCM of 18 and 27
What is the LCM of 18 and 27?
What are the Methods to Find LCM of 18 and 27?
Listing Multiples
Division Method
Prime Factorization Method
If the LCM of 27 and 18 is 54, Find its GCF.
Since the LCM of 27 and 18 = 54
⇒ 54 × GCF(27, 18) = 486
Therefore, the GCF (greatest common factor) = 486/54 = 9.
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