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LCM of 8523, 5319

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


Find the LCM of 8523, 5319 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 8523, 5319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8523,5319

Given numbers are 8523,5319

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

The LCM of 8523,5319 is 5037093.

Find LCM of 8523,5319 with Prime Factorization


3 8523, 5319
3 2841, 1773
947, 591

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

3 x 3 x 947 x 591 = 5037093

Therefore, the lowest common multiple of 8523,5319 is 5037093.

LCM Formula to Find Lowest Common Multiple of 8523,5319

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.

8523 x 5319 = 45333837

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.

8523 : 1, 3, 9, 947, 2841, 8523

5319 : 1, 3, 9, 27, 197, 591, 1773, 5319

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8523,5319, is 9.

Now, the common factors can be found like this.

8523:3x 3x 947

5319:3x 3x 3x 197

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 = 45333837/(9x1)

LCM = 45333837/9

LCM = 5037093

Thus, we can understand that the LCM of 8523,5319 is 5037093.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8523, 5319

1. What is the LCM of 8523, 5319?

Answer: LCM of 8523, 5319 is 5037093.

2. How to calculate the LCM of 8523, 5319?

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 8523, 5319.

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}.