Find Least Common Multiple of 2021 and 1895 using prime factorisation method.
Answer
LCM( 2021, 1895 ) = 3829795
Explanation
Step 1: Write down factorisation of each number:
2021 = 43 · 47
1895 = 5 · 379
Step 2 : Match primes vertically:
| 2021 | = | 43 | · | 47 | ||||
| 1895 | = | 5 | · | 379 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2021 | = | 43 | · | 47 | ||||||
| 1895 | = | 5 | · | 379 | ||||||
| LCM | = | 5 | · | 43 | · | 47 | · | 379 | = | 3829795 |
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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