Question
Find Least Common Multiple of 23 and 88 using prime factorisation method.
Answer
LCM( 23, 88 ) = 2024
Explanation
Step 1: Write down factorisation of each number:
23 = 23
88 = 2 · 2 · 2 · 11
Step 2 : Match primes vertically:
| 23 | = | 23 | ||||||||
| 88 | = | 2 | · | 2 | · | 2 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 23 | = | 23 | ||||||||||
| 88 | = | 2 | · | 2 | · | 2 | · | 11 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | = | 2024 |
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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