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LCM of 6556, 2189

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


Find the LCM of 6556, 2189 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 6556, 2189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6556,2189

Given numbers are 6556,2189

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

The LCM of 6556,2189 is 1304644.

Find LCM of 6556,2189 with Prime Factorization


11 6556, 2189
596, 199

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

11 x 596 x 199 = 1304644

Therefore, the lowest common multiple of 6556,2189 is 1304644.

LCM Formula to Find Lowest Common Multiple of 6556,2189

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.

6556 x 2189 = 14351084

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.

6556 : 1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556

2189 : 1, 11, 199, 2189

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6556,2189, is 11.

Now, the common factors can be found like this.

6556:2x 2x 11x 149

2189:11x 199

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 = 14351084/(11x1)

LCM = 14351084/11

LCM = 1304644

Thus, we can understand that the LCM of 6556,2189 is 1304644.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6556, 2189

1. What is the LCM of 6556, 2189?

Answer: LCM of 6556, 2189 is 1304644.

2. How to calculate the LCM of 6556, 2189?

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 6556, 2189.

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}.