What is the LCM of 6 and 7?
To find the LCM of 6 and 7, we need the least number which is exactly divisible by both 6 and 7.
Answer: LCM of 6 and 7 is 42
Lets see how to find the LCM of 6 and 7
The Least Common Multiple (LCM) of two numbers a and b is the smallest number that divides a and b exactly.
We can find the LCM of the numbers in many ways.
Methods to Find LCM of 6 and 7
Let us use the following methods to find the LCM of 6 and 7
- Listing the Multiples
LCM of 6 and 7 by Listing Method
We will list the first few multiples of 6 and 7 and determine the common multiples.
The least among the common multiples is the LCM of 6 and 7
LCM of 6 and 7 by Formula
The formula of LCM is
LCM (a,b) = (a × b) / GCF (a,b)
The Greatest Common Factor (GCF) of (6,7) is 1. So, GCF (6,7) = 1
So, the LCM of 6 and 7 by using the formula,
LCM (6, 7) = (6 × 7) / 1 = 42/1 = 42
LCM of 6 and 7 = 42
Observe that the solution to our question LCM of 6 and 7 is the same in both the methods.