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LCM of 8678, 5532

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


Find the LCM of 8678, 5532 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 8678, 5532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8678,5532

Given numbers are 8678,5532

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

The LCM of 8678,5532 is 24003348.

Find LCM of 8678,5532 with Prime Factorization


2 8678, 5532
4339, 2766

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

2 x 4339 x 2766 = 24003348

Therefore, the lowest common multiple of 8678,5532 is 24003348.

LCM Formula to Find Lowest Common Multiple of 8678,5532

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.

8678 x 5532 = 48006696

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.

8678 : 1, 2, 4339, 8678

5532 : 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8678,5532, is 2.

Now, the common factors can be found like this.

8678:2x 4339

5532:2x 2x 3x 461

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 = 48006696/(2x1)

LCM = 48006696/2

LCM = 24003348

Thus, we can understand that the LCM of 8678,5532 is 24003348.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8678, 5532

1. What is the LCM of 8678, 5532?

Answer: LCM of 8678, 5532 is 24003348.

2. How to calculate the LCM of 8678, 5532?

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 8678, 5532.

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}.