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LCM of 5933, 8177

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


Find the LCM of 5933, 8177 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 5933, 8177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5933,8177

Given numbers are 5933,8177

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

The LCM of 5933,8177 is 2853773.

Find LCM of 5933,8177 with Prime Factorization


17 5933, 8177
349, 481

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

17 x 349 x 481 = 2853773

Therefore, the lowest common multiple of 5933,8177 is 2853773.

LCM Formula to Find Lowest Common Multiple of 5933,8177

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.

5933 x 8177 = 48514141

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.

5933 : 1, 17, 349, 5933

8177 : 1, 13, 17, 37, 221, 481, 629, 8177

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5933,8177, is 17.

Now, the common factors can be found like this.

5933:17x 349

8177:13x 17x 37

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 = 48514141/(17x1)

LCM = 48514141/17

LCM = 2853773

Thus, we can understand that the LCM of 5933,8177 is 2853773.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5933, 8177

1. What is the LCM of 5933, 8177?

Answer: LCM of 5933, 8177 is 2853773.

2. How to calculate the LCM of 5933, 8177?

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 5933, 8177.

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}.