What is the LCM of 15 and 20 ?
LCM of 15 and 20 is the least number which is exactly divisible by both 15 and 20.
Answer: LCM of 15 and 20 is 60
Lets see how to find the LCM of 15 and 20
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 15 and 20
Let us use the following methods to find the LCM of 15 and 20
- Listing the Multiples
LCM of 15 and 20 by Listing Method
In this method, we list the first few multiples of 15 and 20 and identify the common multiples.
The least among the common multiples is the LCM of 15 and 20
LCM of 15 and 20 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 15 and 20 by Formula
The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b)
The Greatest common factor of (15,20) = 5
LCM of 15 and 20 = (15 × 20)/ 5
= 300/5 = 60
LCM of 15 and 20 = 60
Irrespective of the method, the solution to our question LCM of 15 and 20 is the same.