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LCM of 5321, 9061

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


Find the LCM of 5321, 9061 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 5321, 9061. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5321,9061

Given numbers are 5321,9061

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

The LCM of 5321,9061 is 2836093.

Find LCM of 5321,9061 with Prime Factorization


17 5321, 9061
313, 533

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

17 x 313 x 533 = 2836093

Therefore, the lowest common multiple of 5321,9061 is 2836093.

LCM Formula to Find Lowest Common Multiple of 5321,9061

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.

5321 x 9061 = 48213581

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.

5321 : 1, 17, 313, 5321

9061 : 1, 13, 17, 41, 221, 533, 697, 9061

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5321,9061, is 17.

Now, the common factors can be found like this.

5321:17x 313

9061:13x 17x 41

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 = 48213581/(17x1)

LCM = 48213581/17

LCM = 2836093

Thus, we can understand that the LCM of 5321,9061 is 2836093.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5321, 9061

1. What is the LCM of 5321, 9061?

Answer: LCM of 5321, 9061 is 2836093.

2. How to calculate the LCM of 5321, 9061?

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 5321, 9061.

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}.