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LCM of 7335, 9745

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


Find the LCM of 7335, 9745 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 7335, 9745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7335,9745

Given numbers are 7335,9745

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

The LCM of 7335,9745 is 14295915.

Find LCM of 7335,9745 with Prime Factorization


5 7335, 9745
1467, 1949

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

5 x 1467 x 1949 = 14295915

Therefore, the lowest common multiple of 7335,9745 is 14295915.

LCM Formula to Find Lowest Common Multiple of 7335,9745

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.

7335 x 9745 = 71479575

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.

7335 : 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335

9745 : 1, 5, 1949, 9745

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7335,9745, is 5.

Now, the common factors can be found like this.

7335:3x 3x 5x 163

9745:5x 1949

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 = 71479575/(5x1)

LCM = 71479575/5

LCM = 14295915

Thus, we can understand that the LCM of 7335,9745 is 14295915.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7335, 9745

1. What is the LCM of 7335, 9745?

Answer: LCM of 7335, 9745 is 14295915.

2. How to calculate the LCM of 7335, 9745?

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 7335, 9745.

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}.