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LCM of 6752, 6514

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


Find the LCM of 6752, 6514 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 6752, 6514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6752,6514

Given numbers are 6752,6514

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

The LCM of 6752,6514 is 21991264.

Find LCM of 6752,6514 with Prime Factorization


2 6752, 6514
3376, 3257

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

2 x 3376 x 3257 = 21991264

Therefore, the lowest common multiple of 6752,6514 is 21991264.

LCM Formula to Find Lowest Common Multiple of 6752,6514

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.

6752 x 6514 = 43982528

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.

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

6514 : 1, 2, 3257, 6514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6752,6514, is 2.

Now, the common factors can be found like this.

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

6514:2x 3257

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 = 43982528/(2x1)

LCM = 43982528/2

LCM = 21991264

Thus, we can understand that the LCM of 6752,6514 is 21991264.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6752, 6514

1. What is the LCM of 6752, 6514?

Answer: LCM of 6752, 6514 is 21991264.

2. How to calculate the LCM of 6752, 6514?

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 6752, 6514.

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}.