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LCM of 6545, 6275

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


Find the LCM of 6545, 6275 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 6545, 6275. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6545,6275

Given numbers are 6545,6275

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

The LCM of 6545,6275 is 8213975.

Find LCM of 6545,6275 with Prime Factorization


5 6545, 6275
1309, 1255

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

5 x 1309 x 1255 = 8213975

Therefore, the lowest common multiple of 6545,6275 is 8213975.

LCM Formula to Find Lowest Common Multiple of 6545,6275

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.

6545 x 6275 = 41069875

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.

6545 : 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545

6275 : 1, 5, 25, 251, 1255, 6275

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6545,6275, is 5.

Now, the common factors can be found like this.

6545:5x 7x 11x 17

6275:5x 5x 251

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 = 41069875/(5x1)

LCM = 41069875/5

LCM = 8213975

Thus, we can understand that the LCM of 6545,6275 is 8213975.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6545, 6275

1. What is the LCM of 6545, 6275?

Answer: LCM of 6545, 6275 is 8213975.

2. How to calculate the LCM of 6545, 6275?

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 6545, 6275.

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}.