Find the LCM of 9966, 7117 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 9966, 7117. So, keep reading to learn more.
Given numbers are 9966,7117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9966,7117 is 6448002.
Find LCM of 9966,7117 with Prime Factorization
| 11 | 9966, 7117 |
| 906, 647 |
Multiply the prime numbers at the bottom and the left side.
11 x 906 x 647 = 6448002
Therefore, the lowest common multiple of 9966,7117 is 6448002.
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.
9966 x 7117 = 70928022
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.
9966 : 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
7117 : 1, 11, 647, 7117
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9966,7117, is 11.
Now, the common factors can be found like this.
9966:2x 3x 11x 151
7117:11x 647
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 = 70928022/(11x1)
LCM = 70928022/11
LCM = 6448002
Thus, we can understand that the LCM of 9966,7117 is 6448002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9966, 7117?
Answer: LCM of 9966, 7117 is 6448002.
2. How to calculate the LCM of 9966, 7117?
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 9966, 7117.
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}.