LCM( 8546, 3298 ) = 14092354
Step 1 : Write the given numbers in a horizontal line.
8546 | 3298 |
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 | 8546 | 3298 |
4273 | 1649 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 8546 | 3298 |
17 | 4273 | 1649 |
97 | 4273 | 97 |
4273 | 4273 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 8546, 3298 ) = 2 · 17 · 97 · 4273 = 14092354 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.