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LCM of 8458, 8216

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


Find the LCM of 8458, 8216 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 8458, 8216. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8458,8216

Given numbers are 8458,8216

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

The LCM of 8458,8216 is 34745464.

Find LCM of 8458,8216 with Prime Factorization


2 8458, 8216
4229, 4108

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

2 x 4229 x 4108 = 34745464

Therefore, the lowest common multiple of 8458,8216 is 34745464.

LCM Formula to Find Lowest Common Multiple of 8458,8216

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.

8458 x 8216 = 69490928

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.

8458 : 1, 2, 4229, 8458

8216 : 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8458,8216, is 2.

Now, the common factors can be found like this.

8458:2x 4229

8216:2x 2x 2x 13x 79

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 = 69490928/(2x1)

LCM = 69490928/2

LCM = 34745464

Thus, we can understand that the LCM of 8458,8216 is 34745464.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8458, 8216

1. What is the LCM of 8458, 8216?

Answer: LCM of 8458, 8216 is 34745464.

2. How to calculate the LCM of 8458, 8216?

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 8458, 8216.

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}.