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LCM of 1221, 6039

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


Find the LCM of 1221, 6039 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 1221, 6039. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1221,6039

Given numbers are 1221,6039

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

The LCM of 1221,6039 is 223443.

Find LCM of 1221,6039 with Prime Factorization


3 1221, 6039
11 407, 2013
37, 183

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

3 x 11 x 37 x 183 = 223443

Therefore, the lowest common multiple of 1221,6039 is 223443.

LCM Formula to Find Lowest Common Multiple of 1221,6039

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.

1221 x 6039 = 7373619

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.

1221 : 1, 3, 11, 33, 37, 111, 407, 1221

6039 : 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039

33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1221,6039, is 33.

Now, the common factors can be found like this.

1221:3x 11x 37

6039:3x 3x 11x 61

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 = 7373619/(33x1)

LCM = 7373619/33

LCM = 223443

Thus, we can understand that the LCM of 1221,6039 is 223443.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1221, 6039

1. What is the LCM of 1221, 6039?

Answer: LCM of 1221, 6039 is 223443.

2. How to calculate the LCM of 1221, 6039?

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 1221, 6039.

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}.