Question
Find Least Common Multiple of 67 and 167 using prime factorisation method.
Answer
LCM( 67, 167 ) = 11189
Explanation
Step 1: Write down factorisation of each number:
67 = 67
167 = 167
Step 2 : Match primes vertically:
| 67 | = | 67 | ||
| 167 | = | 167 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 67 | = | 67 | ||||
| 167 | = | 167 | ||||
| LCM | = | 67 | · | 167 | = | 11189 |
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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