LCM Formula
The Least Common Multiple (LCM) of two or more numbers is the smallest multiple that is exactly divisible by each of them. There is no specific formula for LCM, but it can be found using various methods like prime factorization or listing multiples. To find the LCM of numbers \(a\) and \(b\):
1. Prime Factorization Method: Write both numbers as products of their prime factors. LCM is the product of all unique prime factors, each raised to its highest power from the given numbers.
For example, LCM of 12 and 15:
2. Listing Multiples Method: List multiples of each number and identify the smallest common multiple.
For example, multiples of
Multiples of
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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