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LCM of 5691, 9737

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


Find the LCM of 5691, 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 5691, 9737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5691,9737

Given numbers are 5691,9737

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

The LCM of 5691,9737 is 7916181.

Find LCM of 5691,9737 with Prime Factorization


7 5691, 9737
813, 1391

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

7 x 813 x 1391 = 7916181

Therefore, the lowest common multiple of 5691,9737 is 7916181.

LCM Formula to Find Lowest Common Multiple of 5691,9737

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.

5691 x 9737 = 55413267

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.

5691 : 1, 3, 7, 21, 271, 813, 1897, 5691

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

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5691,9737, is 7.

Now, the common factors can be found like this.

5691:3x 7x 271

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 = 55413267/(7x1)

LCM = 55413267/7

LCM = 7916181

Thus, we can understand that the LCM of 5691,9737 is 7916181.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5691, 9737

1. What is the LCM of 5691, 9737?

Answer: LCM of 5691, 9737 is 7916181.

2. How to calculate the LCM of 5691, 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 5691, 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}.