Find Least Common Multiple of 185 and 187 using prime factorisation method.
Answer
LCM( 185, 187 ) = 34595
Explanation
Step 1: Write down factorisation of each number:
185 = 5 · 37
187 = 11 · 17
Step 2 : Match primes vertically:
| 185 | = | 5 | · | 37 | ||||
| 187 | = | 11 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 185 | = | 5 | · | 37 | ||||||
| 187 | = | 11 | · | 17 | ||||||
| LCM | = | 5 | · | 11 | · | 17 | · | 37 | = | 34595 |
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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