Find Least Common Multiple of 9 and 14 using prime factorisation method.
Answer
LCM( 9, 14 ) = 126
Explanation
Step 1: Write down factorisation of each number:
9 = 3 · 3
14 = 2 · 7
Step 2 : Match primes vertically:
| 9 | = | 3 | · | 3 | ||||
| 14 | = | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 9 | = | 3 | · | 3 | ||||||
| 14 | = | 2 | · | 7 | ||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 7 | = | 126 |
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