Find Least Common Multiple of 58 and 436 using prime factorisation method.
Answer
LCM( 58, 436 ) = 12644
Explanation
Step 1: Write down factorisation of each number:
58 = 2 · 29
436 = 2 · 2 · 109
Step 2 : Match primes vertically:
| 58 | = | 2 | · | 29 | ||||
| 436 | = | 2 | · | 2 | · | 109 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 58 | = | 2 | · | 29 | ||||||
| 436 | = | 2 | · | 2 | · | 109 | ||||
| LCM | = | 2 | · | 2 | · | 29 | · | 109 | = | 12644 |
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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