Find Least Common Multiple of 9 and 63 using prime factorisation method.
Answer
LCM( 9, 63 ) = 63
Explanation
Step 1: Write down factorisation of each number:
9 = 3 · 3
63 = 3 · 3 · 7
Step 2 : Match primes vertically:
| 9 | = | 3 | · | 3 | ||
| 63 | = | 3 | · | 3 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 9 | = | 3 | · | 3 | ||||
| 63 | = | 3 | · | 3 | · | 7 | ||
| LCM | = | 3 | · | 3 | · | 7 | = | 63 |
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