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LCM of 8128, 8458

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


Find the LCM of 8128, 8458 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 8128, 8458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8128,8458

Given numbers are 8128,8458

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

The LCM of 8128,8458 is 34373312.

Find LCM of 8128,8458 with Prime Factorization


2 8128, 8458
4064, 4229

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

2 x 4064 x 4229 = 34373312

Therefore, the lowest common multiple of 8128,8458 is 34373312.

LCM Formula to Find Lowest Common Multiple of 8128,8458

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.

8128 x 8458 = 68746624

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.

8128 : 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

8458 : 1, 2, 4229, 8458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8128,8458, is 2.

Now, the common factors can be found like this.

8128:2x 2x 2x 2x 2x 2x 127

8458:2x 4229

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 = 68746624/(2x1)

LCM = 68746624/2

LCM = 34373312

Thus, we can understand that the LCM of 8128,8458 is 34373312.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8128, 8458

1. What is the LCM of 8128, 8458?

Answer: LCM of 8128, 8458 is 34373312.

2. How to calculate the LCM of 8128, 8458?

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 8128, 8458.

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}.