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LCM of 9061, 6642

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


Find the LCM of 9061, 6642 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 9061, 6642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9061,6642

Given numbers are 9061,6642

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

The LCM of 9061,6642 is 1467882.

Find LCM of 9061,6642 with Prime Factorization


41 9061, 6642
221, 162

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

41 x 221 x 162 = 1467882

Therefore, the lowest common multiple of 9061,6642 is 1467882.

LCM Formula to Find Lowest Common Multiple of 9061,6642

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.

9061 x 6642 = 60183162

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.

9061 : 1, 13, 17, 41, 221, 533, 697, 9061

6642 : 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642

41 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9061,6642, is 41.

Now, the common factors can be found like this.

9061:13x 17x 41

6642:2x 3x 3x 3x 3x 41

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 = 60183162/(41x1)

LCM = 60183162/41

LCM = 1467882

Thus, we can understand that the LCM of 9061,6642 is 1467882.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9061, 6642

1. What is the LCM of 9061, 6642?

Answer: LCM of 9061, 6642 is 1467882.

2. How to calculate the LCM of 9061, 6642?

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 9061, 6642.

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}.