Question
Find Least Common Multiple of 7 and 13 using prime factorisation method.
Answer
LCM( 7, 13 ) = 91
Explanation
Step 1: Write down factorisation of each number:
7 = 7
13 = 13
Step 2 : Match primes vertically:
| 7 | = | 7 | ||
| 13 | = | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 7 | = | 7 | ||||
| 13 | = | 13 | ||||
| LCM | = | 7 | · | 13 | = | 91 |
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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