Given numbers are 2705,6075

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

The LCM of 2705,6075 is 3286575.

Find LCM of 2705,6075 with Prime Factorization

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

5 x 541 x 1215 = 3286575

Therefore, the lowest common multiple of 2705,6075 is 3286575.

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.

2705 x 6075 = 16432875

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.

2705 : 1, 5, 541, 2705

6075 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2705,6075, is 5.

Now, the common factors can be found like this.

2705:5x 541

6075:3x 3x 3x 3x 3x 5x 5

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 = 16432875/(5x1)

LCM = 16432875/5

LCM = 3286575

Thus, we can understand that the LCM of 2705,6075 is 3286575.

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

• LCM of 2590, 8883
• LCM of 1611, 7826
• LCM of 7048, 4955
• LCM of 8320, 5827
• LCM of 2539, 8226

1. What is the LCM of 2705, 6075?

Answer: LCM of 2705, 6075 is 3286575.

2. How to calculate the LCM of 2705, 6075?

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 2705, 6075.

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}.