Finding LCM using HCF Formula
LCM can also be derived using GCD or HCF. If a, and b are any numbers then, we have,
LCM(a,b) × HCF(a,b) = a × b
or
LCM(a,b) = (a × b)/ GCD(a,b)
Note: This formula is only applicable while finding the LCM of two numbers only.
Example: Find LCM of 4, 56 using GCD of 4, 56.
Solution:
Prime factors of 4 = 2 × 2
Prime factors of 56 = 2 × 2 × 2 × 7
Common factor = 2 × 2 = 4
Hence,
GCD of 4, 56 = 4
LCM of 4, 56 = (4 × 56)/ gcd of (4, 56)
= 224/ 4
= 56
LCM Formula
LCM Formula: LCM stands for Least Common Multiple. LCM of two numbers say a and b is defined as the smallest positive integer divisible by both the numbers a and b. Hence, the LCM is the smallest common multiple of two or more numbers. It is also called lowest common multiple, or smallest common multiple.
In this article, we will discuss LCM, Formulas to calculate LCM, and different methods used to find the LCM of two or more numbers.
Table of Content
- What is LCM?
- LCM Formula
- Finding LCM using HCF Formula
- LCM Formula for 2 Numbers
- LCM of Fractions
- LCM Calculator
- How to Find LCM (Lowest Common Multiple)?
- LCM by Listing Multiples
- LCM using Prime Factorization Method
- LCM using Division Method
- LCM Formula Examples
- Practice Questions on LCM Formula
- Properties of LCM
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