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LCM of 2369, 7567

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


Find the LCM of 2369, 7567 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 2369, 7567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2369,7567

Given numbers are 2369,7567

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

The LCM of 2369,7567 is 779401.

Find LCM of 2369,7567 with Prime Factorization


23 2369, 7567
103, 329

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

23 x 103 x 329 = 779401

Therefore, the lowest common multiple of 2369,7567 is 779401.

LCM Formula to Find Lowest Common Multiple of 2369,7567

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.

2369 x 7567 = 17926223

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.

2369 : 1, 23, 103, 2369

7567 : 1, 7, 23, 47, 161, 329, 1081, 7567

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2369,7567, is 23.

Now, the common factors can be found like this.

2369:23x 103

7567:7x 23x 47

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 = 17926223/(23x1)

LCM = 17926223/23

LCM = 779401

Thus, we can understand that the LCM of 2369,7567 is 779401.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2369, 7567

1. What is the LCM of 2369, 7567?

Answer: LCM of 2369, 7567 is 779401.

2. How to calculate the LCM of 2369, 7567?

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 2369, 7567.

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}.