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LCM of 9928, 9358

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


Find the LCM of 9928, 9358 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 9928, 9358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9928,9358

Given numbers are 9928,9358

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

The LCM of 9928,9358 is 46453112.

Find LCM of 9928,9358 with Prime Factorization


2 9928, 9358
4964, 4679

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

2 x 4964 x 4679 = 46453112

Therefore, the lowest common multiple of 9928,9358 is 46453112.

LCM Formula to Find Lowest Common Multiple of 9928,9358

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.

9928 x 9358 = 92906224

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.

9928 : 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928

9358 : 1, 2, 4679, 9358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9928,9358, is 2.

Now, the common factors can be found like this.

9928:2x 2x 2x 17x 73

9358:2x 4679

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 = 92906224/(2x1)

LCM = 92906224/2

LCM = 46453112

Thus, we can understand that the LCM of 9928,9358 is 46453112.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9928, 9358

1. What is the LCM of 9928, 9358?

Answer: LCM of 9928, 9358 is 46453112.

2. How to calculate the LCM of 9928, 9358?

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 9928, 9358.

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}.