Find Least Common Multiple of 86450 and 54145 using prime factorisation method.
Answer
LCM( 86450, 54145 ) = 10287550
Explanation
Step 1: Write down factorisation of each number:
86450 = 2 · 5 · 5 · 7 · 13 · 19
54145 = 5 · 7 · 7 · 13 · 17
Step 2 : Match primes vertically:
| 86450 | = | 2 | · | 5 | · | 5 | · | 7 | · | 13 | · | 19 | ||||
| 54145 | = | 5 | · | 7 | · | 7 | · | 13 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 86450 | = | 2 | · | 5 | · | 5 | · | 7 | · | 13 | · | 19 | ||||||
| 54145 | = | 5 | · | 7 | · | 7 | · | 13 | · | 17 | ||||||||
| LCM | = | 2 | · | 5 | · | 5 | · | 7 | · | 7 | · | 13 | · | 17 | · | 19 | = | 10287550 |
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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