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LCM of 2692, 6074

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


Find the LCM of 2692, 6074 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 2692, 6074. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2692,6074

Given numbers are 2692,6074

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

The LCM of 2692,6074 is 8175604.

Find LCM of 2692,6074 with Prime Factorization


2 2692, 6074
1346, 3037

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

2 x 1346 x 3037 = 8175604

Therefore, the lowest common multiple of 2692,6074 is 8175604.

LCM Formula to Find Lowest Common Multiple of 2692,6074

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.

2692 x 6074 = 16351208

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.

2692 : 1, 2, 4, 673, 1346, 2692

6074 : 1, 2, 3037, 6074

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2692,6074, is 2.

Now, the common factors can be found like this.

2692:2x 2x 673

6074:2x 3037

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 = 16351208/(2x1)

LCM = 16351208/2

LCM = 8175604

Thus, we can understand that the LCM of 2692,6074 is 8175604.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2692, 6074

1. What is the LCM of 2692, 6074?

Answer: LCM of 2692, 6074 is 8175604.

2. How to calculate the LCM of 2692, 6074?

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 2692, 6074.

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}.