What is the LCM of 16 and 24?
LCM of 16 and 24 is the least number which is exactly divisible by both 16 and 24.
Answer: LCM of 16 and 24 is 48
Lets see how to find the LCM of 16 and 24
Least common multiple is the smallest number which the given number divides exactly.
We can find the LCM of the numbers in many ways the commonly used methods are listed below.
Methods to Find the LCM of 16 and 24
Let us use the following methods to find the LCM of 16 and 24
- Listing the Multiples
- Common Division
LCM of 16 and 24 by Listing Method
In this method, we list the first few multiples of 16 and 24 and identify the common multiples.
The least among the common multiples is the LCM of 16 and 24
LCM of 16 and 24 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 16 and 24 by Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)
The Greatest common factor of (16,24) = 8
LCM of 16 and 24 = (16 × 24) / 8
= 384/8 = 48
LCM of 16 and 24 = 48
Irrespective of the method, the solution to our question LCM of 16 and 24 is the same.