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LCM of 7475, 9737

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


Find the LCM of 7475, 9737 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 7475, 9737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7475,9737

Given numbers are 7475,9737

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

The LCM of 7475,9737 is 5598775.

Find LCM of 7475,9737 with Prime Factorization


13 7475, 9737
575, 749

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

13 x 575 x 749 = 5598775

Therefore, the lowest common multiple of 7475,9737 is 5598775.

LCM Formula to Find Lowest Common Multiple of 7475,9737

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.

7475 x 9737 = 72784075

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.

7475 : 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475

9737 : 1, 7, 13, 91, 107, 749, 1391, 9737

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7475,9737, is 13.

Now, the common factors can be found like this.

7475:5x 5x 13x 23

9737:7x 13x 107

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 = 72784075/(13x1)

LCM = 72784075/13

LCM = 5598775

Thus, we can understand that the LCM of 7475,9737 is 5598775.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7475, 9737

1. What is the LCM of 7475, 9737?

Answer: LCM of 7475, 9737 is 5598775.

2. How to calculate the LCM of 7475, 9737?

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 7475, 9737.

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}.