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LCM of 8323, 7175

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


Find the LCM of 8323, 7175 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 8323, 7175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8323,7175

Given numbers are 8323,7175

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

The LCM of 8323,7175 is 208075.

Find LCM of 8323,7175 with Prime Factorization


7 8323, 7175
41 1189, 1025
29, 25

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

7 x 41 x 29 x 25 = 208075

Therefore, the lowest common multiple of 8323,7175 is 208075.

LCM Formula to Find Lowest Common Multiple of 8323,7175

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.

8323 x 7175 = 59717525

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.

8323 : 1, 7, 29, 41, 203, 287, 1189, 8323

7175 : 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175

287 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8323,7175, is 287.

Now, the common factors can be found like this.

8323:7x 29x 41

7175:5x 5x 7x 41

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 = 59717525/(287x1)

LCM = 59717525/287

LCM = 208075

Thus, we can understand that the LCM of 8323,7175 is 208075.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8323, 7175

1. What is the LCM of 8323, 7175?

Answer: LCM of 8323, 7175 is 208075.

2. How to calculate the LCM of 8323, 7175?

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 8323, 7175.

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}.