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LCM of 7172, 9994

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


Find the LCM of 7172, 9994 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 7172, 9994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7172,9994

Given numbers are 7172,9994

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

The LCM of 7172,9994 is 35838484.

Find LCM of 7172,9994 with Prime Factorization


2 7172, 9994
3586, 4997

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

2 x 3586 x 4997 = 35838484

Therefore, the lowest common multiple of 7172,9994 is 35838484.

LCM Formula to Find Lowest Common Multiple of 7172,9994

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.

7172 x 9994 = 71676968

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.

7172 : 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172

9994 : 1, 2, 19, 38, 263, 526, 4997, 9994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7172,9994, is 2.

Now, the common factors can be found like this.

7172:2x 2x 11x 163

9994:2x 19x 263

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 = 71676968/(2x1)

LCM = 71676968/2

LCM = 35838484

Thus, we can understand that the LCM of 7172,9994 is 35838484.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7172, 9994

1. What is the LCM of 7172, 9994?

Answer: LCM of 7172, 9994 is 35838484.

2. How to calculate the LCM of 7172, 9994?

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 7172, 9994.

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}.