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LCM of 9939, 8583

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


Find the LCM of 9939, 8583 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 9939, 8583. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9939,8583

Given numbers are 9939,8583

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

The LCM of 9939,8583 is 28435479.

Find LCM of 9939,8583 with Prime Factorization


3 9939, 8583
3313, 2861

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

3 x 3313 x 2861 = 28435479

Therefore, the lowest common multiple of 9939,8583 is 28435479.

LCM Formula to Find Lowest Common Multiple of 9939,8583

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.

9939 x 8583 = 85306437

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.

9939 : 1, 3, 3313, 9939

8583 : 1, 3, 2861, 8583

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9939,8583, is 3.

Now, the common factors can be found like this.

9939:3x 3313

8583:3x 2861

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 = 85306437/(3x1)

LCM = 85306437/3

LCM = 28435479

Thus, we can understand that the LCM of 9939,8583 is 28435479.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9939, 8583

1. What is the LCM of 9939, 8583?

Answer: LCM of 9939, 8583 is 28435479.

2. How to calculate the LCM of 9939, 8583?

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 9939, 8583.

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}.