Given numbers are 8577,2004

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

The LCM of 8577,2004 is 5729436.

Find LCM of 8577,2004 with Prime Factorization

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

3 x 2859 x 668 = 5729436

Therefore, the lowest common multiple of 8577,2004 is 5729436.

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.

8577 x 2004 = 17188308

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.

8577 : 1, 3, 9, 953, 2859, 8577

2004 : 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8577,2004, is 3.

Now, the common factors can be found like this.

8577:3x 3x 953

2004:2x 2x 3x 167

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 = 17188308/(3x1)

LCM = 17188308/3

LCM = 5729436

Thus, we can understand that the LCM of 8577,2004 is 5729436.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 7128, 6854
• LCM of 7300, 7758
• LCM of 8745, 9951
• LCM of 6283, 3011
• LCM of 5538, 6339

1. What is the LCM of 8577, 2004?

Answer: LCM of 8577, 2004 is 5729436.

2. How to calculate the LCM of 8577, 2004?

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 8577, 2004.

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}.