Find the LCM of 9826, 6584 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9826, 6584. So, keep reading to learn more.
Given numbers are 9826,6584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9826,6584 is 32347192.
Find LCM of 9826,6584 with Prime Factorization
| 2 | 9826, 6584 |
| 4913, 3292 |
Multiply the prime numbers at the bottom and the left side.
2 x 4913 x 3292 = 32347192
Therefore, the lowest common multiple of 9826,6584 is 32347192.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
9826 x 6584 = 64694384
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
9826 : 1, 2, 17, 34, 289, 578, 4913, 9826
6584 : 1, 2, 4, 8, 823, 1646, 3292, 6584
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9826,6584, is 2.
Now, the common factors can be found like this.
9826:2x 17x 17x 17
6584:2x 2x 2x 823
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 64694384/(2x1)
LCM = 64694384/2
LCM = 32347192
Thus, we can understand that the LCM of 9826,6584 is 32347192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9826, 6584?
Answer: LCM of 9826, 6584 is 32347192.
2. How to calculate the LCM of 9826, 6584?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9826, 6584.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.