Question
Find Least Common Multiple of 21180 and 1765 using prime factorisation method.
Answer
LCM( 21180, 1765 ) = 21180
Explanation
Step 1: Write down factorisation of each number:
21180 = 2 · 2 · 3 · 5 · 353
1765 = 5 · 353
Step 2 : Match primes vertically:
| 21180 | = | 2 | · | 2 | · | 3 | · | 5 | · | 353 |
| 1765 | = | 5 | · | 353 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 21180 | = | 2 | · | 2 | · | 3 | · | 5 | · | 353 | ||
| 1765 | = | 5 | · | 353 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 5 | · | 353 | = | 21180 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator