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LCM of 8330, 9836

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


Find the LCM of 8330, 9836 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 8330, 9836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8330,9836

Given numbers are 8330,9836

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

The LCM of 8330,9836 is 40966940.

Find LCM of 8330,9836 with Prime Factorization


2 8330, 9836
4165, 4918

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

2 x 4165 x 4918 = 40966940

Therefore, the lowest common multiple of 8330,9836 is 40966940.

LCM Formula to Find Lowest Common Multiple of 8330,9836

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.

8330 x 9836 = 81933880

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.

8330 : 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330

9836 : 1, 2, 4, 2459, 4918, 9836

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8330,9836, is 2.

Now, the common factors can be found like this.

8330:2x 5x 7x 7x 17

9836:2x 2x 2459

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 = 81933880/(2x1)

LCM = 81933880/2

LCM = 40966940

Thus, we can understand that the LCM of 8330,9836 is 40966940.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 8330, 9836

1. What is the LCM of 8330, 9836?

Answer: LCM of 8330, 9836 is 40966940.

2. How to calculate the LCM of 8330, 9836?

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 8330, 9836.

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}.