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LCM of 7554, 1580

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


Find the LCM of 7554, 1580 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 7554, 1580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7554,1580

Given numbers are 7554,1580

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

The LCM of 7554,1580 is 5967660.

Find LCM of 7554,1580 with Prime Factorization


2 7554, 1580
3777, 790

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

2 x 3777 x 790 = 5967660

Therefore, the lowest common multiple of 7554,1580 is 5967660.

LCM Formula to Find Lowest Common Multiple of 7554,1580

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.

7554 x 1580 = 11935320

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.

7554 : 1, 2, 3, 6, 1259, 2518, 3777, 7554

1580 : 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7554,1580, is 2.

Now, the common factors can be found like this.

7554:2x 3x 1259

1580:2x 2x 5x 79

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 = 11935320/(2x1)

LCM = 11935320/2

LCM = 5967660

Thus, we can understand that the LCM of 7554,1580 is 5967660.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7554, 1580

1. What is the LCM of 7554, 1580?

Answer: LCM of 7554, 1580 is 5967660.

2. How to calculate the LCM of 7554, 1580?

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 7554, 1580.

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}.