Find Least Common Multiple of 67 and 204 using prime factorisation method.
Answer
LCM( 67, 204 ) = 13668
Explanation
Step 1: Write down factorisation of each number:
67 = 67
204 = 2 · 2 · 3 · 17
Step 2 : Match primes vertically:
| 67 | = | 67 | ||||||||
| 204 | = | 2 | · | 2 | · | 3 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 67 | = | 67 | ||||||||||
| 204 | = | 2 | · | 2 | · | 3 | · | 17 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 17 | · | 67 | = | 13668 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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