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LCM of 8569, 7535

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


Find the LCM of 8569, 7535 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 8569, 7535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8569,7535

Given numbers are 8569,7535

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

The LCM of 8569,7535 is 5869765.

Find LCM of 8569,7535 with Prime Factorization


11 8569, 7535
779, 685

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

11 x 779 x 685 = 5869765

Therefore, the lowest common multiple of 8569,7535 is 5869765.

LCM Formula to Find Lowest Common Multiple of 8569,7535

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.

8569 x 7535 = 64567415

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.

8569 : 1, 11, 19, 41, 209, 451, 779, 8569

7535 : 1, 5, 11, 55, 137, 685, 1507, 7535

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8569,7535, is 11.

Now, the common factors can be found like this.

8569:11x 19x 41

7535:5x 11x 137

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 = 64567415/(11x1)

LCM = 64567415/11

LCM = 5869765

Thus, we can understand that the LCM of 8569,7535 is 5869765.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8569, 7535

1. What is the LCM of 8569, 7535?

Answer: LCM of 8569, 7535 is 5869765.

2. How to calculate the LCM of 8569, 7535?

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 8569, 7535.

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}.