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LCM of 2104, 4188

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


Find the LCM of 2104, 4188 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 2104, 4188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2104,4188

Given numbers are 2104,4188

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

The LCM of 2104,4188 is 2202888.

Find LCM of 2104,4188 with Prime Factorization


2 2104, 4188
2 1052, 2094
526, 1047

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

2 x 2 x 526 x 1047 = 2202888

Therefore, the lowest common multiple of 2104,4188 is 2202888.

LCM Formula to Find Lowest Common Multiple of 2104,4188

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.

2104 x 4188 = 8811552

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.

2104 : 1, 2, 4, 8, 263, 526, 1052, 2104

4188 : 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2104,4188, is 4.

Now, the common factors can be found like this.

2104:2x 2x 2x 263

4188:2x 2x 3x 349

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 = 8811552/(4x1)

LCM = 8811552/4

LCM = 2202888

Thus, we can understand that the LCM of 2104,4188 is 2202888.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2104, 4188

1. What is the LCM of 2104, 4188?

Answer: LCM of 2104, 4188 is 2202888.

2. How to calculate the LCM of 2104, 4188?

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 2104, 4188.

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}.