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LCM of 4014, 8644

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


Find the LCM of 4014, 8644 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 4014, 8644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4014,8644

Given numbers are 4014,8644

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

The LCM of 4014,8644 is 17348508.

Find LCM of 4014,8644 with Prime Factorization


2 4014, 8644
2007, 4322

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

2 x 2007 x 4322 = 17348508

Therefore, the lowest common multiple of 4014,8644 is 17348508.

LCM Formula to Find Lowest Common Multiple of 4014,8644

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.

4014 x 8644 = 34697016

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.

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

8644 : 1, 2, 4, 2161, 4322, 8644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4014,8644, is 2.

Now, the common factors can be found like this.

4014:2x 3x 3x 223

8644:2x 2x 2161

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 = 34697016/(2x1)

LCM = 34697016/2

LCM = 17348508

Thus, we can understand that the LCM of 4014,8644 is 17348508.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4014, 8644

1. What is the LCM of 4014, 8644?

Answer: LCM of 4014, 8644 is 17348508.

2. How to calculate the LCM of 4014, 8644?

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 4014, 8644.

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}.