LCM( 1134, 2106 ) = 14742
Step 1 : Place the numbers inside division bar:
1134 | 2106 |
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 | 1134 | 2106 |
567 | 1053 |
Step 3 : Repeat Step 2 until you can no longer divide.
2 | 1134 | 2106 |
3 | 567 | 1053 |
189 | 351 |
2 | 1134 | 2106 |
3 | 567 | 1053 |
3 | 189 | 351 |
63 | 117 |
2 | 1134 | 2106 |
3 | 567 | 1053 |
3 | 189 | 351 |
3 | 63 | 117 |
21 | 39 |
2 | 1134 | 2106 |
3 | 567 | 1053 |
3 | 189 | 351 |
3 | 63 | 117 |
3 | 21 | 39 |
7 | 13 |
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 = 1134 · 2106 = 14742
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.