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LCM of 9964, 8986

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


Find the LCM of 9964, 8986 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, 8986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9964,8986

Given numbers are 9964,8986

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

The LCM of 9964,8986 is 44768252.

Find LCM of 9964,8986 with Prime Factorization


2 9964, 8986
4982, 4493

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

2 x 4982 x 4493 = 44768252

Therefore, the lowest common multiple of 9964,8986 is 44768252.

LCM Formula to Find Lowest Common Multiple of 9964,8986

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 8986 = 89536504

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

8986 : 1, 2, 4493, 8986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9964,8986, is 2.

Now, the common factors can be found like this.

9964:2x 2x 47x 53

8986:2x 4493

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 = 89536504/(2x1)

LCM = 89536504/2

LCM = 44768252

Thus, we can understand that the LCM of 9964,8986 is 44768252.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9964, 8986

1. What is the LCM of 9964, 8986?

Answer: LCM of 9964, 8986 is 44768252.

2. How to calculate the LCM of 9964, 8986?

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, 8986.

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}.