LCM of 24 and 8 is 24. The full form of LCM in Maths is Least Common Multiple. The smallest number which is divisible by two or more given numbers is known as Least Common Multiple. For accurate answers based on the concept of LCM, students can refer to Least Common Multiple (LCM) which is prepared by experts in a systematic manner. This article explains how to find the least common multiple of 24 and 8 using prime factorisation, division method and listing multiples in a precise manner.
What is LCM of 24 and 8?
The Least Common Multiple of 24 and 8 is 24.
How to Find LCM of 24 and 8?
The LCM of 24 and 8 can be determined by the following methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 24 and 8 Using Prime Factorisation Method
By prime factorisation method, we can determine the LCM of 24 and 8 by multiplying prime factors raised to their respective highest power.
24 = 2 × 2 × 2 × 3
8 = 2 × 2 × 2
LCM (24, 8) = 2 × 2 × 2 × 3 = 24
LCM of 24 and 8 Using Division Method
In the division method, to obtain the LCM of 24 and 8, we divide the numbers 24 and 8 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 24 and 8.
| 2 | 24 | 8 |
| 2 | 12 | 4 |
| 2 | 6 | 2 |
| 3 | 3 | 1 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (24, 8) = 2 × 2 × 2 × 3 = 24
LCM of 24 and 8 Using Listing the Multiples
In this method, we list out the multiples of 24 and 8 to find the least common multiple of 24 and 8. The table mentioned below represents the multiples of 24 and 8.
| Multiples of 24 | Multiples of 8 |
| 24 | 8 |
| 48 | 16 |
| 72 | 24 |
| 96 | 32 |
| 120 | 40 |
| 144 | 48 |
LCM (24, 8) = 24
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 24 and 8?
Solution: 24 is the smallest number that is divisible by both 24 and 8.
Q. 2: The GCD and LCM of the two numbers are 8 and 24 respectively. If one number is 24, calculate the other number.
Solution: Let the other number be r.
We know that,
GCD × LCM = 24 × r
r = (GCD × LCM) / 24
r = (8 × 24) / 24
r = 8
Hence the other number is 8.
Frequently Asked Questions on LCM of 24 and 8
What is the LCM of 24 and 8?
How do you find the LCM of 24 and 8 using listing multiples?
24 = 24, 48, 72, 96, 120,….
8 = 8, 16, 24, 32, 40, 48,….
Here, the LCM is 24
Therefore the least common multiple of 24 and 8 by listing multiples is 24.
Is the LCM of 24 and 8 the same as the HCF of 24 and 8?
Find the LCM of 24 and 8.
To determine the LCM, first we should find the multiples of 24 and 8.
Multiples of 24: 24, 48, 72, 96, 120,…..
Multiples of 8: 8, 16, 24, 32, 40, ………
Here the smallest multiple is 24. Hence the LCM of 24 and 8 is 24
Find the relation between GCF and LCM of 24 and 8.
The relation between GCF and LCM of 24 and 8 is
LCM × GCF = 24 × 8
LCM × GCF = 192
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