Given numbers are 6738,6585

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

The LCM of 6738,6585 is 14789910.

Find LCM of 6738,6585 with Prime Factorization

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

3 x 2246 x 2195 = 14789910

Therefore, the lowest common multiple of 6738,6585 is 14789910.

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.

6738 x 6585 = 44369730

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.

6738 : 1, 2, 3, 6, 1123, 2246, 3369, 6738

6585 : 1, 3, 5, 15, 439, 1317, 2195, 6585

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6738,6585, is 3.

Now, the common factors can be found like this.

6738:2x 3x 1123

6585:3x 5x 439

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 = 44369730/(3x1)

LCM = 44369730/3

LCM = 14789910

Thus, we can understand that the LCM of 6738,6585 is 14789910.

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

• LCM of 4427, 6515
• LCM of 4929, 3956
• LCM of 6288, 7062
• LCM of 6888, 5687
• LCM of 2263, 7430

1. What is the LCM of 6738, 6585?

Answer: LCM of 6738, 6585 is 14789910.

2. How to calculate the LCM of 6738, 6585?

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 6738, 6585.

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}.