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LCM of 6994, 9162

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


Find the LCM of 6994, 9162 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 6994, 9162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6994,9162

Given numbers are 6994,9162

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

The LCM of 6994,9162 is 32039514.

Find LCM of 6994,9162 with Prime Factorization


2 6994, 9162
3497, 4581

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

2 x 3497 x 4581 = 32039514

Therefore, the lowest common multiple of 6994,9162 is 32039514.

LCM Formula to Find Lowest Common Multiple of 6994,9162

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.

6994 x 9162 = 64079028

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.

6994 : 1, 2, 13, 26, 269, 538, 3497, 6994

9162 : 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6994,9162, is 2.

Now, the common factors can be found like this.

6994:2x 13x 269

9162:2x 3x 3x 509

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 = 64079028/(2x1)

LCM = 64079028/2

LCM = 32039514

Thus, we can understand that the LCM of 6994,9162 is 32039514.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6994, 9162

1. What is the LCM of 6994, 9162?

Answer: LCM of 6994, 9162 is 32039514.

2. How to calculate the LCM of 6994, 9162?

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 6994, 9162.

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}.