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LCM of 5386, 5918

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


Find the LCM of 5386, 5918 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 5386, 5918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5386,5918

Given numbers are 5386,5918

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

The LCM of 5386,5918 is 15937174.

Find LCM of 5386,5918 with Prime Factorization


2 5386, 5918
2693, 2959

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

2 x 2693 x 2959 = 15937174

Therefore, the lowest common multiple of 5386,5918 is 15937174.

LCM Formula to Find Lowest Common Multiple of 5386,5918

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.

5386 x 5918 = 31874348

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.

5386 : 1, 2, 2693, 5386

5918 : 1, 2, 11, 22, 269, 538, 2959, 5918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5386,5918, is 2.

Now, the common factors can be found like this.

5386:2x 2693

5918:2x 11x 269

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 = 31874348/(2x1)

LCM = 31874348/2

LCM = 15937174

Thus, we can understand that the LCM of 5386,5918 is 15937174.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5386, 5918

1. What is the LCM of 5386, 5918?

Answer: LCM of 5386, 5918 is 15937174.

2. How to calculate the LCM of 5386, 5918?

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 5386, 5918.

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}.