HCF and LCM in Mathematics -FAQs

What is the full form of HCF and LCM.

The full form of HCF is the Highest Common Factor and the full form of LCM is the Lowest Common Multiple.

What is the formula of HCF and LCM?

The relationship between HCF and LCM states that the product of a and b is equal to the product of HCF and LCM. 

(LCM of two numbers) × (HCF of two numbers) = Product of two numbers

This is written as:

LCM(a, b) × HCF(a, b) = a × b

What is GCF? Find GCF of 4 and 12.

GCF is the Greatest Common Factor which is nothing but another name for HCF. 

GCF of 4 and 12 will be 4 as 4 is the greatest common factor between 4 and 12.

What are the different methods to find HCF and LCM in math?

There are various methods to find HCF and LCM. Following are the most famous methods used to calculate the Highest Common factor and Least Common Multiple:

  1. Division method
  2. Prime factorization method

What is the use of HCF and LCM?

HCF is very useful in mathematics and in real life as well. When numbers are required to be divided into smaller sections, or when certain things are required to be into smaller parts or in groups, HCF is used. LCM can be used in places where certain situations will require to occur multiple times.



HCF and LCM: Definition, Formula, Full Form, Examples

The full form of HCF is the Highest Common Factor while the full form of LCM is the Least Common Multiple. HCF is the largest number that divides two or more numbers without leaving a remainder. LCM is the smallest multiple that is divisible by two or more integers.

Let’s learn about HCF and LCM in detail.

Table of Content

  • HCF and LCM Definition
  • HCF and LCM Formula
  • How to Find HCF and LCM?
  • Difference between HCF and LCM
  • HCF and LCM Examples

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HCF and LCM Definition

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