What is the LCM of 20 and 40?
The Least Common Multiple of 20 and 40 would be a number which is the smallest and also perfectly or exactly divisible by them.
Answer: LCM of (20 and 40) = 40
Let's see how to find the LCM of 20 and 40
Least Common Multiple: It is that number that is the smallest and also exactly divisible by the given numbers.
Methods to Find the LCM of 20 and 40
Let's see two different ways by which the LCM of 20 and 40 can be found out:
LCM of 20 and 40 using Listing Multiples Method:
- List down the multiples of the three given numbers.
- Find out which are the common multiples amongst all.
- Spot the one which is the smallest and that will be the LCM
LCM of 20 and 40 using Formula Method:
Statement: The product of any two given numbers 'a' and 'b' is always equal to the product of their LCM and GCF.
Formula: a×b=LCM(a,b) × GCF(a,b)
The Greatest Common Factor(GCF) of (20, 40) = 20
LCM of 20 and 40 = (20 × 40) / 20
= 800/20 = 40
LCM of 20 and 40 = 40
Both the above-mentioned methods yield the same answer.