Find Least Common Multiple of 62 and 52 using prime factorisation method.
Answer
LCM( 62, 52 ) = 1612
Explanation
Step 1: Write down factorisation of each number:
62 = 2 · 31
52 = 2 · 2 · 13
Step 2 : Match primes vertically:
| 62 | = | 2 | · | 31 | ||||
| 52 | = | 2 | · | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 62 | = | 2 | · | 31 | ||||||
| 52 | = | 2 | · | 2 | · | 13 | ||||
| LCM | = | 2 | · | 2 | · | 13 | · | 31 | = | 1612 |
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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