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LCM of 6649, 7259

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


Find the LCM of 6649, 7259 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 6649, 7259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6649,7259

Given numbers are 6649,7259

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

The LCM of 6649,7259 is 791231.

Find LCM of 6649,7259 with Prime Factorization


61 6649, 7259
109, 119

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

61 x 109 x 119 = 791231

Therefore, the lowest common multiple of 6649,7259 is 791231.

LCM Formula to Find Lowest Common Multiple of 6649,7259

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.

6649 x 7259 = 48265091

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.

6649 : 1, 61, 109, 6649

7259 : 1, 7, 17, 61, 119, 427, 1037, 7259

61 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6649,7259, is 61.

Now, the common factors can be found like this.

6649:61x 109

7259:7x 17x 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 = 48265091/(61x1)

LCM = 48265091/61

LCM = 791231

Thus, we can understand that the LCM of 6649,7259 is 791231.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6649, 7259

1. What is the LCM of 6649, 7259?

Answer: LCM of 6649, 7259 is 791231.

2. How to calculate the LCM of 6649, 7259?

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 6649, 7259.

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}.