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LCM of 9927, 8493

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


Find the LCM of 9927, 8493 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 9927, 8493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9927,8493

Given numbers are 9927,8493

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

The LCM of 9927,8493 is 28103337.

Find LCM of 9927,8493 with Prime Factorization


3 9927, 8493
3309, 2831

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

3 x 3309 x 2831 = 28103337

Therefore, the lowest common multiple of 9927,8493 is 28103337.

LCM Formula to Find Lowest Common Multiple of 9927,8493

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.

9927 x 8493 = 84310011

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.

9927 : 1, 3, 9, 1103, 3309, 9927

8493 : 1, 3, 19, 57, 149, 447, 2831, 8493

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9927,8493, is 3.

Now, the common factors can be found like this.

9927:3x 3x 1103

8493:3x 19x 149

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 = 84310011/(3x1)

LCM = 84310011/3

LCM = 28103337

Thus, we can understand that the LCM of 9927,8493 is 28103337.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9927, 8493

1. What is the LCM of 9927, 8493?

Answer: LCM of 9927, 8493 is 28103337.

2. How to calculate the LCM of 9927, 8493?

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 9927, 8493.

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}.