What is the LCM of 60 and 75?
To find the LCM of 60 and 75, we need the least number which is exactly divisible by both 60 and 75.
Answer: LCM of 60 and 75 is 300
Lets see how to find the LCM of 60 and 75
Explanation:
Least Common Multiple of two numbers is the least number that divides the two numbers exactly.
Here are some commonly used methods.

LCM of 60 and 75 by Formula
The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)
The Greatest Common Factor of (60,75) = 15
So, GCF (60,75) = 15
By formula,
LCM (60,75) = (60 × 75) / GCF (60,75)
= (60 × 75) / 3
= 4500 / 15
= 300
So, LCM of 60 and 75 = 300

LCM of 60 and 75 by Listing Method
Let's see the first few multiples of 60 and 75 and identify the common multiples of 60 and 75.
The least among the common multiples is the LCM of 60 and 75
Clearly, 300 is the least common multiple of 60 and 75
So, irrespective of the method, the solution to our question LCM of 60 and 75 is the same.