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LCM of 7007, 2299

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


Find the LCM of 7007, 2299 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 7007, 2299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7007,2299

Given numbers are 7007,2299

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

The LCM of 7007,2299 is 1464463.

Find LCM of 7007,2299 with Prime Factorization


11 7007, 2299
637, 209

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

11 x 637 x 209 = 1464463

Therefore, the lowest common multiple of 7007,2299 is 1464463.

LCM Formula to Find Lowest Common Multiple of 7007,2299

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.

7007 x 2299 = 16109093

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.

7007 : 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007

2299 : 1, 11, 19, 121, 209, 2299

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7007,2299, is 11.

Now, the common factors can be found like this.

7007:7x 7x 11x 13

2299:11x 11x 19

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 = 16109093/(11x1)

LCM = 16109093/11

LCM = 1464463

Thus, we can understand that the LCM of 7007,2299 is 1464463.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7007, 2299

1. What is the LCM of 7007, 2299?

Answer: LCM of 7007, 2299 is 1464463.

2. How to calculate the LCM of 7007, 2299?

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 7007, 2299.

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}.