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LCM of 6404, 4014

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


Find the LCM of 6404, 4014 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 6404, 4014. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6404,4014

Given numbers are 6404,4014

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

The LCM of 6404,4014 is 12852828.

Find LCM of 6404,4014 with Prime Factorization


2 6404, 4014
3202, 2007

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

2 x 3202 x 2007 = 12852828

Therefore, the lowest common multiple of 6404,4014 is 12852828.

LCM Formula to Find Lowest Common Multiple of 6404,4014

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.

6404 x 4014 = 25705656

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.

6404 : 1, 2, 4, 1601, 3202, 6404

4014 : 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6404,4014, is 2.

Now, the common factors can be found like this.

6404:2x 2x 1601

4014:2x 3x 3x 223

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 = 25705656/(2x1)

LCM = 25705656/2

LCM = 12852828

Thus, we can understand that the LCM of 6404,4014 is 12852828.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6404, 4014

1. What is the LCM of 6404, 4014?

Answer: LCM of 6404, 4014 is 12852828.

2. How to calculate the LCM of 6404, 4014?

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 6404, 4014.

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}.