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LCM of 9082, 6392

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


Find the LCM of 9082, 6392 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 9082, 6392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9082,6392

Given numbers are 9082,6392

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

The LCM of 9082,6392 is 29026072.

Find LCM of 9082,6392 with Prime Factorization


2 9082, 6392
4541, 3196

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

2 x 4541 x 3196 = 29026072

Therefore, the lowest common multiple of 9082,6392 is 29026072.

LCM Formula to Find Lowest Common Multiple of 9082,6392

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.

9082 x 6392 = 58052144

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.

9082 : 1, 2, 19, 38, 239, 478, 4541, 9082

6392 : 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9082,6392, is 2.

Now, the common factors can be found like this.

9082:2x 19x 239

6392:2x 2x 2x 17x 47

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 = 58052144/(2x1)

LCM = 58052144/2

LCM = 29026072

Thus, we can understand that the LCM of 9082,6392 is 29026072.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9082, 6392

1. What is the LCM of 9082, 6392?

Answer: LCM of 9082, 6392 is 29026072.

2. How to calculate the LCM of 9082, 6392?

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 9082, 6392.

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}.