Least Common Multiple (LCM) Formula
We have the LCM formula that is used to find the LCM of two numbers if the HCF and the two numbers are given. The LCM formula states that the LCM of two numbers is calculated by diving the HCF of these two numbers by the product of two numbers, i.e. the LCM of two numbers P and Q is,
LCM (P, Q) = (P × Q) ÷ HCF(P, Q)
For example, find the LCM of 16 and 12 if its HCF is 4.
Solution:
12×16 = 192
HCF of 12, 16 = 4
LCM of 12, 16 = (12×16)/HCF of 12, 16
= 192/4
= 48
Thus, the LCM of 12 and 16 is 48.
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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