What is Least Common Multiple (LCM)?
Least Common Multiple or LCM in mathematics is defined as the smallest number which when divided by the given number gives the remainder zero. We can also say that the Least Common Multiple of any number is the number that contains all the multiples of the given number. We can explain the same using the example,
Example: Find the LCM of 4, 6.
Solution:
For finding LCM of 4, and 6. We write the multiple of 4 and 6 such that,
Multiple of 4 = 4, 8, 12, 14, 20, . . .
Multiple of 6 = 6, 12, 18, 24, 30, . . .
Here, comparing the multiples of 4, and 6 we find that the lowest number that is a multiple of both 4 and 6 is 12.
Thus, the LCM of 4 and 6 is 12
Lowest Common Multiple – LCM
Least Common Multiple in maths is abbreviated as LCM and is used to find a number that is the smallest number that is divisible by two or more numbers perfectly. In other words, the LCM is the smallest multiple that each of the given numbers divides into evenly. LCM stands for Least Common Multiple i.e., LCM is the smallest multiple which is common for all the given numbers. We can easily find the LCM of two or more numbers by simply finding the prime factor of the given numbers and then taking the highest power of each factor of the numbers.
In this article, we will learn about Least Common Multiple (LCM) in maths, how to calculate LCM, its examples, and others in detail.
Table of Content
- What is Least Common Multiple (LCM)?
- How to Find the LCM of two Numbers?
- Finding LCM using Listing Method
- Finding LCM using Prime Factorization Method
- Finding LCM using Division Method
- Least Common Multiple (LCM) Formula
- Relationship Between LCM and HCF
- Difference Between LCM and HCF
- LCM of Three Numbers
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