LCM( 21192, 14128 ) = 42384
Step 1 : Write the given numbers in a horizontal line.
21192 | 14128 |
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 | 21192 | 14128 |
10596 | 7064 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 21192 | 14128 |
2 | 10596 | 7064 |
2 | 5298 | 3532 |
2 | 2649 | 1766 |
3 | 2649 | 883 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 21192, 14128 ) = 2 · 2 · 2 · 2 · 3 · 883 = 42384 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.