LCM( 96, 114 ) = 1824
Step 1 : Write the given numbers in a horizontal line.
96 | 114 |
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 | 96 | 114 |
48 | 57 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 96 | 114 |
2 | 48 | 57 |
2 | 24 | 57 |
2 | 12 | 57 |
2 | 6 | 57 |
3 | 3 | 57 |
19 | 1 | 19 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 96, 114 ) = 2 · 2 · 2 · 2 · 2 · 3 · 19 = 1824 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.