LCM of 15 and 24 is 120. The number among the multiples which is common in both and evenly divisible is the LCM value. The multiples of 15 are (15, 30, 45, 60, 75, ….) and the multiples of 24 are (24, 48, 72, 96, 120, 144, ….) respectively. The least common multiple of 15 and 24 here is 120. The LCM of 15 and 24 can be determined using methods such as division, prime factorization and listing out the multiples.
Also read: Least common multiple
What is LCM of 15 and 24?
The answer to this question is 120. The LCM of 15 and 24 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 15 and 24, is the smallest positive integer 120 which is divisible by both 15 and 24 with no remainder.
How to Find LCM of 15 and 24?
LCM of 15 and 24 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15 and 24 Using Prime Factorisation Method
The prime factorisation of 15 and 24, respectively, is given by:
15 = 3 x 5 = 3¹ x 2¹
24 = 2 x 2 x 2 x 3 = 2³ x 3¹
LCM (15, 24) = 120
LCM of 15 and 24 Using Division Method
We’ll divide the numbers (15, 24) by their prime factors to get the LCM of 15 and 24 using the division method (preferably common). The LCM of 15 and 24 is calculated by multiplying these divisors.
| 2 | 15 | 24 |
| 2 | 15 | 12 |
| 2 | 15 | 6 |
| 3 | 15 | 3 |
| 5 | 5 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (15, 24) = 120
LCM of 15 and 24 Using Listing the Multiples
To calculate the LCM of 15 and 24 by listing out the common multiples, list the multiples as shown below.
| Multiples of 15 | Multiples of 24 |
| 15 | 24 |
| 30 | 48 |
| 45 | 72 |
| 60 | 96 |
| 75 | 120 |
| 90 | 144 |
| 105 | 168 |
| 120 | – |
| 135 | – |
| 150 | – |
LCM (15, 24) = 120
Related Articles
Video Lesson on Applications of LCM
LCM of 15 and 24 Solved Example
Question: The product of two numbers is 360. What is the LCM if the GCD is 3?
Solution:
Given
GCD = 3
Product of two numbers = 360
We know that;
LCM x GCD = Product of two numbers
LCM x 3 = 360
LCM = 360/3
LCM = 120
Hence, the LCM is 120.
Frequently Asked Questions on LCM of 15 and 24
What is the LCM of 15 and 24?
List the methods used to find the LCM of 15 and 24.
Mention the relation between GCF and LCM of 15 and 24.
The relation between GCF and LCM of 15 and 24 are
LCM x GCF = 15 x 24
LCM x GCF = 360
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