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LCM of 2023, 2771

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


Find the LCM of 2023, 2771 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 2023, 2771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2023,2771

Given numbers are 2023,2771

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

The LCM of 2023,2771 is 329749.

Find LCM of 2023,2771 with Prime Factorization


17 2023, 2771
119, 163

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

17 x 119 x 163 = 329749

Therefore, the lowest common multiple of 2023,2771 is 329749.

LCM Formula to Find Lowest Common Multiple of 2023,2771

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.

2023 x 2771 = 5605733

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.

2023 : 1, 7, 17, 119, 289, 2023

2771 : 1, 17, 163, 2771

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2023,2771, is 17.

Now, the common factors can be found like this.

2023:7x 17x 17

2771:17x 163

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 = 5605733/(17x1)

LCM = 5605733/17

LCM = 329749

Thus, we can understand that the LCM of 2023,2771 is 329749.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2023, 2771

1. What is the LCM of 2023, 2771?

Answer: LCM of 2023, 2771 is 329749.

2. How to calculate the LCM of 2023, 2771?

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 2023, 2771.

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}.