LCM( 5955, 3968 ) = 23629440
Step 1 : Write the given numbers in a horizontal line.
5955 | 3968 |
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 | 5955 | 3968 |
5955 | 1984 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 5955 | 3968 |
2 | 5955 | 1984 |
2 | 5955 | 992 |
2 | 5955 | 496 |
2 | 5955 | 248 |
2 | 5955 | 124 |
2 | 5955 | 62 |
3 | 5955 | 31 |
5 | 1985 | 31 |
31 | 397 | 31 |
397 | 397 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 5955, 3968 ) = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 31 · 397 = 23629440 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.