![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
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
Find the LCM and HCF of 6 and 20 by applying the prime factorisation method.
Given: The given numbers are 6 and 20.
To find: Here we have to find the LCM and HCF of 6 and 20 by prime factorization method.
Solution:
Prime factorization of 6 $=\ 2\ \times\ 3$
Prime factorization of 20 $=\ 2\ \times\ 2\ \times\ 5\ =\ 2^2\ \times\ 5$
Now,
LCM $=$ Product of Highest powers of each prime factor
LCM $=\ 2^2\ \times\ 3\ \times\ 5$
LCM $=\ 4\ \times\ 3\ \times\ 5$
LCM $=$ 60
And,
HCF $=$ Product of smallest powers of each common prime factor
HCF $=$ 2
Therefore, LCM and HCF of 6 and 20 are 60 and 2 respectively.
Advertisements