LCM( 2669, 7648 ) = 20412512
Step 1 : Write the given numbers in a horizontal line.
2669 | 7648 |
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 | 2669 | 7648 |
2669 | 3824 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 2669 | 7648 |
2 | 2669 | 3824 |
2 | 2669 | 1912 |
2 | 2669 | 956 |
2 | 2669 | 478 |
17 | 2669 | 239 |
157 | 157 | 239 |
239 | 1 | 239 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2669, 7648 ) = 2 · 2 · 2 · 2 · 2 · 17 · 157 · 239 = 20412512 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.