What is the LCM of 8 and 24?
The LCM or least common multiple of two or more numbers is the smallest possible number which is exactly divisible by the given numbers.
Answer: LCM of 8 and 24 is 24
LCM of 8 and 24 is the least number which is exactly divisible by both the numbers.
We can find the LCM by the following methods:
- Listing the common multiples
- Common Division Method
Find LCM of 8 and 24 by Listing Method
We start the process by listing the first few multiples of 8 and 24 and then we move on to identify the common multiples of both the given numbers. The least among the common multiples is the LCM(8, 24).
Find the LCM(8, 24) by Common Division Method
In the process of common division:
- we divide the numbers simultaneously with prime numbers and
- stop it when we don't have a prime number to divide the given numbers.
LCM of 8 and 24 is 2 × 2 × 2 × 3 which is equal to 24
LCM of 8 and 24 is equal to 24 as 24 is a multiple of 8
So, if one of the numbers is a multiple of others, then their LCM would be the same as the largest of both.
Like 24 is a multiple of 8. Then LCM(8, 24) is 24 itself.