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LCM of 9729, 7097

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


Find the LCM of 9729, 7097 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 9729, 7097. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9729,7097

Given numbers are 9729,7097

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

The LCM of 9729,7097 is 1469079.

Find LCM of 9729,7097 with Prime Factorization


47 9729, 7097
207, 151

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

47 x 207 x 151 = 1469079

Therefore, the lowest common multiple of 9729,7097 is 1469079.

LCM Formula to Find Lowest Common Multiple of 9729,7097

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.

9729 x 7097 = 69046713

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.

9729 : 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729

7097 : 1, 47, 151, 7097

47 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9729,7097, is 47.

Now, the common factors can be found like this.

9729:3x 3x 23x 47

7097:47x 151

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 = 69046713/(47x1)

LCM = 69046713/47

LCM = 1469079

Thus, we can understand that the LCM of 9729,7097 is 1469079.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9729, 7097

1. What is the LCM of 9729, 7097?

Answer: LCM of 9729, 7097 is 1469079.

2. How to calculate the LCM of 9729, 7097?

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 9729, 7097.

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}.