Given numbers are 3286,9762

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

The LCM of 3286,9762 is 16038966.

Find LCM of 3286,9762 with Prime Factorization

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

2 x 1643 x 4881 = 16038966

Therefore, the lowest common multiple of 3286,9762 is 16038966.

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.

3286 x 9762 = 32077932

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.

3286 : 1, 2, 31, 53, 62, 106, 1643, 3286

9762 : 1, 2, 3, 6, 1627, 3254, 4881, 9762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3286,9762, is 2.

Now, the common factors can be found like this.

3286:2x 31x 53

9762:2x 3x 1627

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 = 32077932/(2x1)

LCM = 32077932/2

LCM = 16038966

Thus, we can understand that the LCM of 3286,9762 is 16038966.

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

• LCM of 8372, 9045
• LCM of 4454, 8879
• LCM of 5533, 8890
• LCM of 6139, 7305
• LCM of 8479, 2146

1. What is the LCM of 3286, 9762?

Answer: LCM of 3286, 9762 is 16038966.

2. How to calculate the LCM of 3286, 9762?

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 3286, 9762.

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}.