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LCM of 8503, 7172

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


Find the LCM of 8503, 7172 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 8503, 7172. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8503,7172

Given numbers are 8503,7172

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

The LCM of 8503,7172 is 5543956.

Find LCM of 8503,7172 with Prime Factorization


11 8503, 7172
773, 652

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

11 x 773 x 652 = 5543956

Therefore, the lowest common multiple of 8503,7172 is 5543956.

LCM Formula to Find Lowest Common Multiple of 8503,7172

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.

8503 x 7172 = 60983516

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.

8503 : 1, 11, 773, 8503

7172 : 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8503,7172, is 11.

Now, the common factors can be found like this.

8503:11x 773

7172:2x 2x 11x 163

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 = 60983516/(11x1)

LCM = 60983516/11

LCM = 5543956

Thus, we can understand that the LCM of 8503,7172 is 5543956.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8503, 7172

1. What is the LCM of 8503, 7172?

Answer: LCM of 8503, 7172 is 5543956.

2. How to calculate the LCM of 8503, 7172?

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 8503, 7172.

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}.