LCM( 24, 32 ) = 96
Step 1 : Place the numbers inside division bar:
24 | 32 |
Step 2 : Find a prime number which divides both numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
2 | 24 | 32 |
12 | 16 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 24 | 32 |
2 | 12 | 16 |
6 | 8 |
2 | 24 | 32 |
2 | 12 | 16 |
2 | 6 | 8 |
3 | 4 |
Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.
LCM = 24 · 32 = 96
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.