Find Least Common Multiple of 8546 and 3298 using prime factorisation method.
Answer
LCM( 8546, 3298 ) = 14092354
Explanation
Step 1: Write down factorisation of each number:
8546 = 2 · 4273
3298 = 2 · 17 · 97
Step 2 : Match primes vertically:
| 8546 | = | 2 | · | 4273 | ||||
| 3298 | = | 2 | · | 17 | · | 97 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 8546 | = | 2 | · | 4273 | ||||||
| 3298 | = | 2 | · | 17 | · | 97 | ||||
| LCM | = | 2 | · | 17 | · | 97 | · | 4273 | = | 14092354 |
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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