LCM( 6476, 7695 ) = 49832820
Step 1 : Write the given numbers in a horizontal line.
6476 | 7695 |
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 | 6476 | 7695 |
3238 | 7695 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 6476 | 7695 |
2 | 3238 | 7695 |
3 | 1619 | 7695 |
3 | 1619 | 2565 |
3 | 1619 | 855 |
3 | 1619 | 285 |
5 | 1619 | 95 |
19 | 1619 | 19 |
1619 | 1619 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 6476, 7695 ) = 2 · 2 · 3 · 3 · 3 · 3 · 5 · 19 · 1619 = 49832820 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.