Find Least Common Multiple of 43 and 97 using prime factorisation method.
Answer
LCM( 43, 97 ) = 4171
Explanation
Step 1: Write down factorisation of each number:
43 = 43
97 = 97
Step 2 : Match primes vertically:
| 43 | = | 43 | ||
| 97 | = | 97 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 43 | = | 43 | ||||
| 97 | = | 97 | ||||
| LCM | = | 43 | · | 97 | = | 4171 |
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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