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LCM of 1565, 6605

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


Find the LCM of 1565, 6605 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 1565, 6605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1565,6605

Given numbers are 1565,6605

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

The LCM of 1565,6605 is 2067365.

Find LCM of 1565,6605 with Prime Factorization


5 1565, 6605
313, 1321

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

5 x 313 x 1321 = 2067365

Therefore, the lowest common multiple of 1565,6605 is 2067365.

LCM Formula to Find Lowest Common Multiple of 1565,6605

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.

1565 x 6605 = 10336825

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.

1565 : 1, 5, 313, 1565

6605 : 1, 5, 1321, 6605

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1565,6605, is 5.

Now, the common factors can be found like this.

1565:5x 313

6605:5x 1321

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 = 10336825/(5x1)

LCM = 10336825/5

LCM = 2067365

Thus, we can understand that the LCM of 1565,6605 is 2067365.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1565, 6605

1. What is the LCM of 1565, 6605?

Answer: LCM of 1565, 6605 is 2067365.

2. How to calculate the LCM of 1565, 6605?

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 1565, 6605.

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}.