LCM of 15 and 27 is 135. The number equally divisible by 15 and 27 provides the LCM value. The common multiples of the two numbers will assist you to get the least common multiple value of 15 and 27. The multiples of 15 are (15, 30, 45, 60, 75, ….) and the multiples of 27 are (27, 54, 81, 108, …..) respectively. For more precise knowledge on the LCM concept and the methods like prime factorisation, division and listing of the multiples used, visit BYJU’S now!
Also read: Least common multiple
What is LCM of 15 and 27?
The answer to this question is 135. The LCM of 15 and 27 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 15 and 27, is the smallest positive integer 135 which is divisible by both 15 and 27 with no remainder.
How to Find LCM of 15 and 27?
LCM of 15 and 27 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15 and 27 Using Prime Factorisation Method
The prime factorisation of 15 and 27, respectively, is given by:
15 = 3 x 5 = 3¹ x 5¹
27 = 3 x 3 x 3 = 3³
LCM (15, 27) = 135
LCM of 15 and 27 Using Division Method
We’ll divide the numbers (15, 27) by their prime factors to get the LCM of 15 and 27 using the division method (preferably common). The LCM of 15 and 27 is calculated by multiplying these divisors.
|
3 |
15 |
27 |
|
3 |
5 |
9 |
|
3 |
5 |
3 |
|
5 |
5 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (15, 27) = 135
LCM of 15 and 27 Using Listing the Multiples
To calculate the LCM of 15 and 27 by listing out the common multiples, list the multiples as shown below
|
Multiples of 15 |
Multiples of 27 |
|
15 |
27 |
|
30 |
54 |
|
45 |
81 |
|
60 |
108 |
|
75 |
135 |
|
90 |
162 |
|
105 |
189 |
|
120 |
216 |
|
135 |
243 |
LCM (15, 27) = 135
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LCM of 15 and 27 Solved Examples
Question: Find the smallest number divisible by 15 and 27 exactly.
Solution:
The smallest number divisible by 15 and 27 exactly is LCM.
Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, ….
Multiples of 27 = 27, 54, 81, 108, 135, 162, 189, 216, 243, …..
Therefore, the LCM of 15 and 27 is 135.
Frequently Asked Questions on LCM of 15 and 27
Using prime factorisation, find the LCM of 15 and 27.
Using prime factorisation,
15 = 3 x 5 = 3¹ x 5¹
27 = 3 x 3 x 3 = 3³
LCM (15, 27) = 135
What is the LCM of 15 and 27?
Mention the relation between GCF and LCM of 15 and 27.
The relation between GCF and LCM of 15 and 27 is
LCM x GCF = 15 x 27
LCM x GCF = 405
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