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LCM of 4166, 3172

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


Find the LCM of 4166, 3172 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 4166, 3172. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4166,3172

Given numbers are 4166,3172

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

The LCM of 4166,3172 is 6607276.

Find LCM of 4166,3172 with Prime Factorization


2 4166, 3172
2083, 1586

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

2 x 2083 x 1586 = 6607276

Therefore, the lowest common multiple of 4166,3172 is 6607276.

LCM Formula to Find Lowest Common Multiple of 4166,3172

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.

4166 x 3172 = 13214552

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.

4166 : 1, 2, 2083, 4166

3172 : 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4166,3172, is 2.

Now, the common factors can be found like this.

4166:2x 2083

3172:2x 2x 13x 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 = 13214552/(2x1)

LCM = 13214552/2

LCM = 6607276

Thus, we can understand that the LCM of 4166,3172 is 6607276.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4166, 3172

1. What is the LCM of 4166, 3172?

Answer: LCM of 4166, 3172 is 6607276.

2. How to calculate the LCM of 4166, 3172?

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 4166, 3172.

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}.