Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
What is LCM?
Least Common multiple :
- The least common multiple of two or more numbers is the smallest non-zero common number which is a multiple of all the given numbers.
- The LCM of two or more numbers is the product of the prime factors counted the maximum number of times they occur in any of the numbers.
For example,
LCM of 4, 6, and 8 is,
Prime factorizations of 4, 6, and 8 are
$4 = 2 \times 2$
$6 =3 \times 2$
$8 = 2 \times 2 \times 2$
2 occurs the maximum number of times in factorization of 8 and 3 occurs the maximum number of times in factorization of 6.
Therefore,
The LCM of 4, 6 and 8 is $2\times 2\times 2\times 3=8\times 3=24$.
Updated on: 10-Oct-2022
36 Views
Advertisements