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LCM of 7276, 8572

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


Find the LCM of 7276, 8572 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 7276, 8572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7276,8572

Given numbers are 7276,8572

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

The LCM of 7276,8572 is 15592468.

Find LCM of 7276,8572 with Prime Factorization


2 7276, 8572
2 3638, 4286
1819, 2143

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

2 x 2 x 1819 x 2143 = 15592468

Therefore, the lowest common multiple of 7276,8572 is 15592468.

LCM Formula to Find Lowest Common Multiple of 7276,8572

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.

7276 x 8572 = 62369872

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.

7276 : 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

8572 : 1, 2, 4, 2143, 4286, 8572

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7276,8572, is 4.

Now, the common factors can be found like this.

7276:2x 2x 17x 107

8572:2x 2x 2143

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 = 62369872/(4x1)

LCM = 62369872/4

LCM = 15592468

Thus, we can understand that the LCM of 7276,8572 is 15592468.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7276, 8572

1. What is the LCM of 7276, 8572?

Answer: LCM of 7276, 8572 is 15592468.

2. How to calculate the LCM of 7276, 8572?

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 7276, 8572.

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}.