Find Least Common Multiple of 65 and 130 using prime factorisation method.
Answer
LCM( 65, 130 ) = 130
Explanation
Step 1: Write down factorisation of each number:
65 = 5 · 13
130 = 2 · 5 · 13
Step 2 : Match primes vertically:
| 65 | = | 5 | · | 13 | ||
| 130 | = | 2 | · | 5 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 65 | = | 5 | · | 13 | ||||
| 130 | = | 2 | · | 5 | · | 13 | ||
| LCM | = | 2 | · | 5 | · | 13 | = | 130 |
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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