LCM( 55, 66 ) = 330
Step 1 : Write the given numbers in a horizontal line.
55 | 66 |
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 | 55 | 66 |
55 | 33 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 55 | 66 |
3 | 55 | 33 |
5 | 55 | 11 |
11 | 11 | 11 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 55, 66 ) = 2 · 3 · 5 · 11 = 330 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.