LCM( 8324, 83 ) = 690892
Step 1 : Write the given numbers in a horizontal line.
8324 | 83 |
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 | 8324 | 83 |
4162 | 83 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 8324 | 83 |
2 | 4162 | 83 |
83 | 2081 | 83 |
2081 | 2081 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 8324, 83 ) = 2 · 2 · 83 · 2081 = 690892 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.