What is the LCM of 14 and 35?
The least common multiple of 14 and 35 or LCM(14, 35) is the least number which is exactly divisible by both 14 and 35.
Answer: LCM of 14 and 35 is 70
Lets see how to find the LCM of 14 and 35
The least common multiple (LCM ) is the least possible number which the given numbers divide exactly without leaving any remainder.
Common ways of finding LCM are listed below.
Methods to Find LCM(14, 35)
Let us use the following methods to find the LCM of 14 and 35
- Listing the Multiples
Calculate LCM of 14 and 35 by Listing Method
We list the first few multiples of 14 and 35 and identify the common multiples.
Then find the minimum of all of them.
The least among the common multiples is the LCM(14, 35)
Calculate LCM of 14 and 35 by Formula
The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)
The greatest common factor(GCF) of (14,35) = 7
So, after substitution in the above formula, we get
LCM of 14 and 35 = (14 × 35) / 7
= 490/7 = 70
LCM of 14 and 35 = 70
Irrespective of the method, the LCM(14, 35) is unique.