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LCM of 5288, 8356

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


Find the LCM of 5288, 8356 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 5288, 8356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5288,8356

Given numbers are 5288,8356

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

The LCM of 5288,8356 is 11046632.

Find LCM of 5288,8356 with Prime Factorization


2 5288, 8356
2 2644, 4178
1322, 2089

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

2 x 2 x 1322 x 2089 = 11046632

Therefore, the lowest common multiple of 5288,8356 is 11046632.

LCM Formula to Find Lowest Common Multiple of 5288,8356

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.

5288 x 8356 = 44186528

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.

5288 : 1, 2, 4, 8, 661, 1322, 2644, 5288

8356 : 1, 2, 4, 2089, 4178, 8356

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5288,8356, is 4.

Now, the common factors can be found like this.

5288:2x 2x 2x 661

8356:2x 2x 2089

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 = 44186528/(4x1)

LCM = 44186528/4

LCM = 11046632

Thus, we can understand that the LCM of 5288,8356 is 11046632.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5288, 8356

1. What is the LCM of 5288, 8356?

Answer: LCM of 5288, 8356 is 11046632.

2. How to calculate the LCM of 5288, 8356?

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 5288, 8356.

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}.