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LCM of 7545, 2388

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


Find the LCM of 7545, 2388 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 7545, 2388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7545,2388

Given numbers are 7545,2388

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

The LCM of 7545,2388 is 6005820.

Find LCM of 7545,2388 with Prime Factorization


3 7545, 2388
2515, 796

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

3 x 2515 x 796 = 6005820

Therefore, the lowest common multiple of 7545,2388 is 6005820.

LCM Formula to Find Lowest Common Multiple of 7545,2388

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.

7545 x 2388 = 18017460

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.

7545 : 1, 3, 5, 15, 503, 1509, 2515, 7545

2388 : 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7545,2388, is 3.

Now, the common factors can be found like this.

7545:3x 5x 503

2388:2x 2x 3x 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 = 18017460/(3x1)

LCM = 18017460/3

LCM = 6005820

Thus, we can understand that the LCM of 7545,2388 is 6005820.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7545, 2388

1. What is the LCM of 7545, 2388?

Answer: LCM of 7545, 2388 is 6005820.

2. How to calculate the LCM of 7545, 2388?

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 7545, 2388.

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}.