LCM( 1759, 21129108 ) = 21129108
Step 1 : Write the given numbers in a horizontal line.
1759 | 21129108 |
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 | 1759 | 21129108 |
1759 | 10564554 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1759 | 21129108 |
2 | 1759 | 10564554 |
3 | 1759 | 5282277 |
7 | 1759 | 1760759 |
11 | 1759 | 251537 |
13 | 1759 | 22867 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 21129108 ) = 2 · 2 · 3 · 7 · 11 · 13 · 1759 = 21129108 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.