LCM( 161, 207 ) = 1449
Step 1 : Write the given numbers in a horizontal line.
161 | 207 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
3 | 161 | 207 |
161 | 69 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
3 | 161 | 207 |
3 | 161 | 69 |
7 | 161 | 23 |
23 | 23 | 23 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 161, 207 ) = 3 · 3 · 7 · 23 = 1449 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.