What is the LCM of 9 and 12?
LCM of 9 and 12 is the least number which is exactly divisible by both 9 and 12
Answer: LCM of 9 and 12 is 36
Lets see how to find the LCM of 9 and 12
The Least Common Multiple is the smallest number which is exactly divisible by both the given numbers.
We can find the LCM of the numbers in many ways the commonly used methods are listed below.
Methods to Find the LCM of 9 and 12
Let us use the following methods to find the LCM of 9 and 12
- Listing the Multiples
LCM of 9 and 12 by Listing Method
In this method, we list the first few multiples of 9 and 12 and identify the common multiples.
The least among the common multiples is the LCM of 9 and 12
LCM of 9 and 12 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 9 and 12 by Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)
The Greatest Common Factor of (9,12) = 3
LCM of 9 and 12 = (9 × 12) / 3
= 108/3 = 36
LCM of 9 and 12 = 36
Irrespective of the method, the solution to our question LCM of 9 and 12 is the same.