What is LCM?

LCM stands for Lowest Common Multiple. LCM of two or more numbers is the smallest number that is the multiple of all the given numbers. We can also say that the LCM of given numbers are the smallest number which is exactly divisible by the given numbers.

For example the Lowest Common Multiple od 3 and 7 is 21. As 21 is the smallest number that is a mutiple of both 3 and 7.

LCM of 3 and 7

HCF and LCM Questions

HCF (Highest Common Factor) and LCM (Least Common Multiple) are fundamental concepts in mathematics, particularly in number theory. HCF is the highest common number which can exactly divide the two given numbers. LCM or Lowest Common Multiple is the common number that is divisible by both the given numbers. These concepts are essential tools for solving a wide range of mathematical problems.

In this article, we will learn about the definitions of HCF and LCM, their properties, and methods for calculating HCF and LCM. Along with this, all the possible varieties of HCF and LCM Questions have been discussed with solutions, and practice questions are provided on HCF and LCM for learners.

Table of Content

  • What is HCF?
  • What is LCM?
  • How to calculate HCF and LCM?
  • HCF Questions with Solutions
  • LCM Questions with Solution
  • Relation Between HCF and LCM

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What is HCF?

HCF stands for Highest Common factor. HCF for two or more numbers is the highest number that divides all the values with the remainder being zero. HCF is also commonly known as GCD (Greatest Common Divisor)....

What is LCM?

LCM stands for Lowest Common Multiple. LCM of two or more numbers is the smallest number that is the multiple of all the given numbers. We can also say that the LCM of given numbers are the smallest number which is exactly divisible by the given numbers....

How to calculate HCF and LCM?

There are two famous methods to calculate both HCF and LCM:...

Calculation for HCF

HCF can be calculated using two methods. These are Prime Factorization Method and Division method. These two methods are discussed below:...

HCF Questions with Solutions

Question 1: Find the HCF of 36 and 48....

Calculation for LCM

LCM can be calculated using two methods. These are Prime Factorization Method and Division method. These two methods are discussed below:...

LCM Questions with Solution

Question 1: Find the LCM of 9, 12 and 15....

Relation Between HCF and LCM

The HCF of two numbers say, A and B multiplied by the LCM of A and B are always going to be equal to the product of A and B....

HCF and LCM Tricks

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Solved Questions on HCF and LCM

Example 1: If the LCM of two numbers is 72 and one of the numbers is 18, what is the other number?...

HCF and LCM Problems

Q1. If the LCM of three numbers is 180 and their HCF is 6, what are the numbers?...

HCF and LCM – FAQs

1. What is HCF?...