Difference between HCF and LCM
Here are some key differences between HCF and LCM:
|
Feature |
HCF |
LCM |
|---|---|---|
|
Abbreviation |
It is the Highest Common Factor. | It is the Least Common Multiple. |
|
Definition |
The greatest of all the common factors among the given numbers is HCF. | The smallest of all the common multiples among the given numbers is LCM. |
|
Properties |
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. |
|
Value Range |
The HCF of given numbers will be always less than or equal to any of the numbers. | The LCM of the given numbers will always be greater than or equal to any of the numbers given. |
|
Representation |
Hcf(a,b) where “a” and “b” are two numbers. |
Lcm(a,b) where “a” and “b” are two numbers. |
|
Relation with Prime Numbers |
It will involve the identification of common prime factors and multiplying them. |
It involves identifying of all prime factors and multiplying maximum occurrence of each factor. |
|
Application |
Used in division, simplifying fractions, and problems involving factors and divisors |
Used in multiplication, adding and subtracting fractions, and problems involving multiples and common intervals. |
Read More,
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