Find Least Common Multiple of 39375 and 19490626 using prime factorisation method.
Answer
LCM( 39375, 19490626 ) = 767443398750
Explanation
Step 1: Write down factorisation of each number:
39375 = 3 · 3 · 5 · 5 · 5 · 5 · 7
19490626 = 2 · 9745313
Step 2 : Match primes vertically:
| 39375 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | ||||
| 19490626 | = | 2 | · | 9745313 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 39375 | = | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | ||||||
| 19490626 | = | 2 | · | 9745313 | ||||||||||||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 5 | · | 5 | · | 5 | · | 5 | · | 7 | · | 9745313 | = | 767443398750 |
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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