Find the LCM of 2613, 8697 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 2613, 8697. So, keep reading to learn more.
Given numbers are 2613,8697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2613,8697 is 582699.
Find LCM of 2613,8697 with Prime Factorization
| 3 | 2613, 8697 |
| 13 | 871, 2899 |
| 67, 223 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 67 x 223 = 582699
Therefore, the lowest common multiple of 2613,8697 is 582699.
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.
2613 x 8697 = 22725261
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.
2613 : 1, 3, 13, 39, 67, 201, 871, 2613
8697 : 1, 3, 13, 39, 223, 669, 2899, 8697
39 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2613,8697, is 39.
Now, the common factors can be found like this.
2613:3x 13x 67
8697:3x 13x 223
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 = 22725261/(39x1)
LCM = 22725261/39
LCM = 582699
Thus, we can understand that the LCM of 2613,8697 is 582699.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2613, 8697?
Answer: LCM of 2613, 8697 is 582699.
2. How to calculate the LCM of 2613, 8697?
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 2613, 8697.
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}.