Find Least Common Multiple of 2024 and 1061 using prime factorisation method.
Answer
LCM( 2024, 1061 ) = 2147464
Explanation
Step 1: Write down factorisation of each number:
2024 = 2 · 2 · 2 · 11 · 23
1061 = 1061
Step 2 : Match primes vertically:
| 2024 | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | ||
| 1061 | = | 1061 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2024 | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | ||||
| 1061 | = | 1061 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 11 | · | 23 | · | 1061 | = | 2147464 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator