Find Least Common Multiple of 38077 and 9088687 using prime factorisation method.
Answer
LCM( 38077, 9088687 ) = 118152931
Explanation
Step 1: Write down factorisation of each number:
38077 = 13 · 29 · 101
9088687 = 29 · 29 · 101 · 107
Step 2 : Match primes vertically:
| 38077 | = | 13 | · | 29 | · | 101 | ||||
| 9088687 | = | 29 | · | 29 | · | 101 | · | 107 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 38077 | = | 13 | · | 29 | · | 101 | ||||||
| 9088687 | = | 29 | · | 29 | · | 101 | · | 107 | ||||
| LCM | = | 13 | · | 29 | · | 29 | · | 101 | · | 107 | = | 118152931 |
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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