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LCM of 9034, 7204

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


Find the LCM of 9034, 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 9034, 7204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9034,7204

Given numbers are 9034,7204

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

The LCM of 9034,7204 is 32540468.

Find LCM of 9034,7204 with Prime Factorization


2 9034, 7204
4517, 3602

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

2 x 4517 x 3602 = 32540468

Therefore, the lowest common multiple of 9034,7204 is 32540468.

LCM Formula to Find Lowest Common Multiple of 9034,7204

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.

9034 x 7204 = 65080936

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.

9034 : 1, 2, 4517, 9034

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9034,7204, is 2.

Now, the common factors can be found like this.

9034:2x 4517

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 = 65080936/(2x1)

LCM = 65080936/2

LCM = 32540468

Thus, we can understand that the LCM of 9034,7204 is 32540468.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9034, 7204

1. What is the LCM of 9034, 7204?

Answer: LCM of 9034, 7204 is 32540468.

2. How to calculate the LCM of 9034, 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 9034, 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}.