LCM( 81144, 1764 ) = 81144
Step 1 : Write the given numbers in a horizontal line.
81144 | 1764 |
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 | 81144 | 1764 |
40572 | 882 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 81144 | 1764 |
2 | 40572 | 882 |
2 | 20286 | 441 |
3 | 10143 | 441 |
3 | 3381 | 147 |
7 | 1127 | 49 |
7 | 161 | 7 |
23 | 23 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 81144, 1764 ) = 2 · 2 · 2 · 3 · 3 · 7 · 7 · 23 = 81144 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.