LCM( 12906, 13605 ) = 58528710
Step 1 : Write the given numbers in a horizontal line.
12906 | 13605 |
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 | 12906 | 13605 |
6453 | 13605 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 12906 | 13605 |
3 | 6453 | 13605 |
3 | 2151 | 4535 |
3 | 717 | 4535 |
5 | 239 | 4535 |
239 | 239 | 907 |
907 | 1 | 907 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 12906, 13605 ) = 2 · 3 · 3 · 3 · 5 · 239 · 907 = 58528710 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.