Find Least Common Multiple of 13 and 2196 using prime factorisation method.
Answer
LCM( 13, 2196 ) = 28548
Explanation
Step 1: Write down factorisation of each number:
13 = 13
2196 = 2 · 2 · 3 · 3 · 61
Step 2 : Match primes vertically:
| 13 | = | 13 | ||||||||||
| 2196 | = | 2 | · | 2 | · | 3 | · | 3 | · | 61 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 13 | = | 13 | ||||||||||||
| 2196 | = | 2 | · | 2 | · | 3 | · | 3 | · | 61 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 13 | · | 61 | = | 28548 |
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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