Given numbers are 6304,8884

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

The LCM of 6304,8884 is 14001184.

Find LCM of 6304,8884 with Prime Factorization

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

2 x 2 x 1576 x 2221 = 14001184

Therefore, the lowest common multiple of 6304,8884 is 14001184.

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.

6304 x 8884 = 56004736

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.

6304 : 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304

8884 : 1, 2, 4, 2221, 4442, 8884

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6304,8884, is 4.

Now, the common factors can be found like this.

6304:2x 2x 2x 2x 2x 197

8884:2x 2x 2221

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 = 56004736/(4x1)

LCM = 56004736/4

LCM = 14001184

Thus, we can understand that the LCM of 6304,8884 is 14001184.

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

• LCM of 9266, 2259
• LCM of 7816, 8833
• LCM of 5147, 7242
• LCM of 9927, 2970
• LCM of 8629, 6403

1. What is the LCM of 6304, 8884?

Answer: LCM of 6304, 8884 is 14001184.

2. How to calculate the LCM of 6304, 8884?

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 6304, 8884.

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}.