What is the LCM of 24 and 32?
LCM of 24 and 32 is the least number which is exactly divisible by both 24 and 32.
Answer: LCM of 24 and 32 is 96
Lets see how to find the LCM of 24 and 32
Least Common Multiple is the smallest number which the given numbers divides exactly.
We can find the LCM of the numbers in many ways the commonly used methods are listed below.
Methods to Find LCM of 24 and 32
Let us use the following methods to find the LCM of 24 and 32
- Listing the Multiples
LCM of 24 and 32 by Listing Method
In this method, we list the first few multiples of 24 and 32 and identify the common multiples.
The least among the common multiples is the LCM of 24 and 32
LCM of 24 and 32 by Common Division Method
In this division method, 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 24 and 32 by Formula
The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b)
The Greatest Common Factor of (24, 32) = 8
LCM of 24 and 32 = (24 × 32) / 8
= 768/8 = 96
LCM of 24 and 32 = 96
Irrespective of the method, the solution to our question LCM of 24 and 32 is the same.