What is the LCM of 36 and 72?
LCM of any two numbers is a number which is the smallest and also exactly divisible by both of them.
Answer: LCM of (36 and 72) is 72
Lets see how to find the LCM of 36 and 72
Least Common Multiple: Least Common Multiple is the smallest possible number which when divided by the given numbers 36 and 72 leaves a remainder 0, that means its perfectly divisible by them.
Methods to Find the LCM of 36 and 72
Let us use the following methods to find the LCM of 36 and 72
LCM of (36 and 72) by 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 (36 and 72) = 36
LCM of 36 and 72 = (36 × 72) / 36
LCM of 36 and 72 = 72
LCM of (36 and 72) by Method of Listing Multiples
- The first few non-zero multiples of 12,15 and 18 are written down.
- Then common multiples of the two are encircled
- The one which will be the smallest of the common ones is the LCM
Both of the above methods get to the same answer.