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LCM of 2626, 6752

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


Find the LCM of 2626, 6752 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 2626, 6752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2626,6752

Given numbers are 2626,6752

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

The LCM of 2626,6752 is 8865376.

Find LCM of 2626,6752 with Prime Factorization


2 2626, 6752
1313, 3376

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

2 x 1313 x 3376 = 8865376

Therefore, the lowest common multiple of 2626,6752 is 8865376.

LCM Formula to Find Lowest Common Multiple of 2626,6752

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.

2626 x 6752 = 17730752

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.

2626 : 1, 2, 13, 26, 101, 202, 1313, 2626

6752 : 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2626,6752, is 2.

Now, the common factors can be found like this.

2626:2x 13x 101

6752:2x 2x 2x 2x 2x 211

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 = 17730752/(2x1)

LCM = 17730752/2

LCM = 8865376

Thus, we can understand that the LCM of 2626,6752 is 8865376.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2626, 6752

1. What is the LCM of 2626, 6752?

Answer: LCM of 2626, 6752 is 8865376.

2. How to calculate the LCM of 2626, 6752?

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 2626, 6752.

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}.