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LCM of 7415, 8475

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


Find the LCM of 7415, 8475 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 7415, 8475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7415,8475

Given numbers are 7415,8475

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

The LCM of 7415,8475 is 12568425.

Find LCM of 7415,8475 with Prime Factorization


5 7415, 8475
1483, 1695

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

5 x 1483 x 1695 = 12568425

Therefore, the lowest common multiple of 7415,8475 is 12568425.

LCM Formula to Find Lowest Common Multiple of 7415,8475

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.

7415 x 8475 = 62842125

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.

7415 : 1, 5, 1483, 7415

8475 : 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7415,8475, is 5.

Now, the common factors can be found like this.

7415:5x 1483

8475:3x 5x 5x 113

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 = 62842125/(5x1)

LCM = 62842125/5

LCM = 12568425

Thus, we can understand that the LCM of 7415,8475 is 12568425.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7415, 8475

1. What is the LCM of 7415, 8475?

Answer: LCM of 7415, 8475 is 12568425.

2. How to calculate the LCM of 7415, 8475?

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 7415, 8475.

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}.