LCM( 32760, 1765 ) = 11564280
Step 1 : Write the given numbers in a horizontal line.
32760 | 1765 |
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 | 32760 | 1765 |
16380 | 1765 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 32760 | 1765 |
2 | 16380 | 1765 |
2 | 8190 | 1765 |
3 | 4095 | 1765 |
3 | 1365 | 1765 |
5 | 455 | 1765 |
7 | 91 | 353 |
13 | 13 | 353 |
353 | 1 | 353 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 32760, 1765 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 13 · 353 = 11564280 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.