LCM( 116028, 1758 ) = 116028
Step 1 : Write the given numbers in a horizontal line.
116028 | 1758 |
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 | 116028 | 1758 |
58014 | 879 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 116028 | 1758 |
2 | 58014 | 879 |
3 | 29007 | 879 |
3 | 9669 | 293 |
11 | 3223 | 293 |
293 | 293 | 293 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 116028, 1758 ) = 2 · 2 · 3 · 3 · 11 · 293 = 116028 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.