Find Least Common Multiple of 2024 and 1058 using prime factorisation method.
Answer
LCM( 2024, 1058 ) = 46552
Explanation
Step 1: Write down factorisation of each number:
2024 = 2 · 2 · 2 · 11 · 23
1058 = 2 · 23 · 23
Step 2 : Match primes vertically:
| 2024 | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | ||
| 1058 | = | 2 | · | 23 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2024 | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | ||||
| 1058 | = | 2 | · | 23 | · | 23 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | · | 23 | = | 46552 |
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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