LCM( 2964, 3268 ) = 127452
Step 1 : Write the given numbers in a horizontal line.
2964 | 3268 |
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 | 2964 | 3268 |
1482 | 1634 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 2964 | 3268 |
2 | 1482 | 1634 |
3 | 741 | 817 |
13 | 247 | 817 |
19 | 19 | 817 |
43 | 1 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2964, 3268 ) = 2 · 2 · 3 · 13 · 19 · 43 = 127452 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.