What is the LCM of 10 and 15?
LCM of 10 and 15 is the least number which is exactly divisible by both 10 and 15.
Answer: LCM of 10 and 15 is 30
Lets see how to find the LCM of 10 and 15
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 LCM of 10 and 15
Let us use the following methods to find the LCM of 10 and 15
- Listing the Multiples
LCM of 10 and 15 by Listing Method
In this method, we list the first few multiples of 10 and 15 and identify the common multiples.
The least among the common multiples is the LCM of 10 and 15
LCM of 10 and 15 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 10 and 15 by Formula
The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b)
The Greatest common factor(GCF) of (10,15) = 5
LCM of 10 and 15 = (10 × 15)/ 5
=150/5 = 30
LCM of 10 and 15 = 30
Irrespective of the method, the solution to our question LCM of 10 and 15 is the same.