LCM( 104, 64 ) = 832
Step 1 : Write the given numbers in a horizontal line.
104 | 64 |
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 | 104 | 64 |
52 | 32 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 104 | 64 |
2 | 52 | 32 |
2 | 26 | 16 |
2 | 13 | 8 |
2 | 13 | 4 |
2 | 13 | 2 |
13 | 13 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 104, 64 ) = 2 · 2 · 2 · 2 · 2 · 2 · 13 = 832 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.