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LCM of 9964, 1166

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 9964, 1166 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 9964, 1166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9964,1166

Given numbers are 9964,1166

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 9964,1166 is 109604.

Find LCM of 9964,1166 with Prime Factorization


2 9964, 1166
53 4982, 583
94, 11

Multiply the prime numbers at the bottom and the left side.

2 x 53 x 94 x 11 = 109604

Therefore, the lowest common multiple of 9964,1166 is 109604.

LCM Formula to Find Lowest Common Multiple of 9964,1166

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.

9964 x 1166 = 11618024

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.

9964 : 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

1166 : 1, 2, 11, 22, 53, 106, 583, 1166

106 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9964,1166, is 106.

Now, the common factors can be found like this.

9964:2x 2x 47x 53

1166:2x 11x 53

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 = 11618024/(106x1)

LCM = 11618024/106

LCM = 109604

Thus, we can understand that the LCM of 9964,1166 is 109604.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9964, 1166

1. What is the LCM of 9964, 1166?

Answer: LCM of 9964, 1166 is 109604.

2. How to calculate the LCM of 9964, 1166?

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 9964, 1166.

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}.