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LCM of 8524, 7204

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


Find the LCM of 8524, 7204 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 8524, 7204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8524,7204

Given numbers are 8524,7204

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

The LCM of 8524,7204 is 15351724.

Find LCM of 8524,7204 with Prime Factorization


2 8524, 7204
2 4262, 3602
2131, 1801

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

2 x 2 x 2131 x 1801 = 15351724

Therefore, the lowest common multiple of 8524,7204 is 15351724.

LCM Formula to Find Lowest Common Multiple of 8524,7204

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.

8524 x 7204 = 61406896

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.

8524 : 1, 2, 4, 2131, 4262, 8524

7204 : 1, 2, 4, 1801, 3602, 7204

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8524,7204, is 4.

Now, the common factors can be found like this.

8524:2x 2x 2131

7204:2x 2x 1801

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 = 61406896/(4x1)

LCM = 61406896/4

LCM = 15351724

Thus, we can understand that the LCM of 8524,7204 is 15351724.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8524, 7204

1. What is the LCM of 8524, 7204?

Answer: LCM of 8524, 7204 is 15351724.

2. How to calculate the LCM of 8524, 7204?

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 8524, 7204.

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}.