LCM( 625, 14641 ) = 9150625
Step 1 : Write the given numbers in a horizontal line.
625 | 14641 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 5.
(if any number is not divisible by 5, write it down unchanged)
5 | 625 | 14641 |
125 | 14641 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
5 | 625 | 14641 |
5 | 125 | 14641 |
5 | 25 | 14641 |
5 | 5 | 14641 |
11 | 1 | 14641 |
11 | 1 | 1331 |
11 | 1 | 121 |
11 | 1 | 11 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 625, 14641 ) = 5 · 5 · 5 · 5 · 11 · 11 · 11 · 11 = 9150625 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.