Find Least Common Multiple of 209 and 89 using prime factorisation method.
Answer
LCM( 209, 89 ) = 18601
Explanation
Step 1: Write down factorisation of each number:
209 = 11 · 19
89 = 89
Step 2 : Match primes vertically:
| 209 | = | 11 | · | 19 | ||
| 89 | = | 89 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 209 | = | 11 | · | 19 | ||||
| 89 | = | 89 | ||||||
| LCM | = | 11 | · | 19 | · | 89 | = | 18601 |
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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