LCM( 6859, 4979 ) = 34150961
Step 1 : Write the given numbers in a horizontal line.
6859 | 4979 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 13.
(if any number is not divisible by 13, write it down unchanged)
13 | 6859 | 4979 |
6859 | 383 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
13 | 6859 | 4979 |
19 | 6859 | 383 |
19 | 361 | 383 |
19 | 19 | 383 |
383 | 1 | 383 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 6859, 4979 ) = 13 · 19 · 19 · 19 · 383 = 34150961 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.