LCM( 8654, 9246 ) = 40007442
Step 1 : Write the given numbers in a horizontal line.
8654 | 9246 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 | 8654 | 9246 |
4327 | 4623 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 8654 | 9246 |
3 | 4327 | 4623 |
23 | 4327 | 1541 |
67 | 4327 | 67 |
4327 | 4327 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 8654, 9246 ) = 2 · 3 · 23 · 67 · 4327 = 40007442 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.