Given numbers are 6304,8834

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

The LCM of 6304,8834 is 27844768.

Find LCM of 6304,8834 with Prime Factorization

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

2 x 3152 x 4417 = 27844768

Therefore, the lowest common multiple of 6304,8834 is 27844768.

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 8834 = 55689536

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

8834 : 1, 2, 7, 14, 631, 1262, 4417, 8834

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6304,8834, is 2.

Now, the common factors can be found like this.

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

8834:2x 7x 631

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 = 55689536/(2x1)

LCM = 55689536/2

LCM = 27844768

Thus, we can understand that the LCM of 6304,8834 is 27844768.

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

• LCM of 1851, 7328
• LCM of 5325, 4429
• LCM of 4034, 8486
• LCM of 9486, 4016
• LCM of 5452, 9687

1. What is the LCM of 6304, 8834?

Answer: LCM of 6304, 8834 is 27844768.

2. How to calculate the LCM of 6304, 8834?

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, 8834.

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}.