Relationship Between LCM and HCF
The relation between the Least Common Multiple(LCM) and Highest Common Factor(HCF) is the relation that gives an expression defining the relation between LCM and the HCF, we know that the LCM of two numbers is the number that is the smallest multiple of the given two numbers and the HCF of two numbers is the highest factor of the two numbers. The relation between LCM and the HCF is,
Suppose we have two numbers (P and Q) then,
LCM (a, b) × HCF (a, b) = a × b
This is also stated as,
LCM of Numbers × HCF of Numbers = Product of two Numbers
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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