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LCM of 9614, 6523

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


Find the LCM of 9614, 6523 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 9614, 6523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9614,6523

Given numbers are 9614,6523

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

The LCM of 9614,6523 is 5701102.

Find LCM of 9614,6523 with Prime Factorization


11 9614, 6523
874, 593

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

11 x 874 x 593 = 5701102

Therefore, the lowest common multiple of 9614,6523 is 5701102.

LCM Formula to Find Lowest Common Multiple of 9614,6523

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.

9614 x 6523 = 62712122

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.

9614 : 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614

6523 : 1, 11, 593, 6523

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9614,6523, is 11.

Now, the common factors can be found like this.

9614:2x 11x 19x 23

6523:11x 593

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 = 62712122/(11x1)

LCM = 62712122/11

LCM = 5701102

Thus, we can understand that the LCM of 9614,6523 is 5701102.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9614, 6523

1. What is the LCM of 9614, 6523?

Answer: LCM of 9614, 6523 is 5701102.

2. How to calculate the LCM of 9614, 6523?

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 9614, 6523.

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}.