Find Least Common Multiple of 9642 and 6498 using prime factorisation method.
Answer
LCM( 9642, 6498 ) = 10442286
Explanation
Step 1: Write down factorisation of each number:
9642 = 2 · 3 · 1607
6498 = 2 · 3 · 3 · 19 · 19
Step 2 : Match primes vertically:
| 9642 | = | 2 | · | 3 | · | 1607 | ||||||
| 6498 | = | 2 | · | 3 | · | 3 | · | 19 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 9642 | = | 2 | · | 3 | · | 1607 | ||||||||
| 6498 | = | 2 | · | 3 | · | 3 | · | 19 | · | 19 | ||||
| LCM | = | 2 | · | 3 | · | 3 | · | 19 | · | 19 | · | 1607 | = | 10442286 |
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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