LCM( 4684, 7644 ) = 8951124
Step 1 : Write the given numbers in a horizontal line.
4684 | 7644 |
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 | 4684 | 7644 |
2342 | 3822 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 4684 | 7644 |
2 | 2342 | 3822 |
3 | 1171 | 1911 |
7 | 1171 | 637 |
7 | 1171 | 91 |
13 | 1171 | 13 |
1171 | 1171 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 4684, 7644 ) = 2 · 2 · 3 · 7 · 7 · 13 · 1171 = 8951124 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.