Find the LCM of 9644, 4756 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 9644, 4756. So, keep reading to learn more.
Given numbers are 9644,4756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9644,4756 is 11466716.
Find LCM of 9644,4756 with Prime Factorization
| 2 | 9644, 4756 |
| 2 | 4822, 2378 |
| 2411, 1189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2411 x 1189 = 11466716
Therefore, the lowest common multiple of 9644,4756 is 11466716.
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.
9644 x 4756 = 45866864
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.
9644 : 1, 2, 4, 2411, 4822, 9644
4756 : 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9644,4756, is 4.
Now, the common factors can be found like this.
9644:2x 2x 2411
4756:2x 2x 29x 41
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 = 45866864/(4x1)
LCM = 45866864/4
LCM = 11466716
Thus, we can understand that the LCM of 9644,4756 is 11466716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9644, 4756?
Answer: LCM of 9644, 4756 is 11466716.
2. How to calculate the LCM of 9644, 4756?
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 9644, 4756.
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}.