Given numbers are 8679,3509

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

The LCM of 8679,3509 is 2768601.

Find LCM of 8679,3509 with Prime Factorization

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

11 x 789 x 319 = 2768601

Therefore, the lowest common multiple of 8679,3509 is 2768601.

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.

8679 x 3509 = 30454611

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.

8679 : 1, 3, 11, 33, 263, 789, 2893, 8679

3509 : 1, 11, 29, 121, 319, 3509

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8679,3509, is 11.

Now, the common factors can be found like this.

8679:3x 11x 263

3509:11x 11x 29

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 = 30454611/(11x1)

LCM = 30454611/11

LCM = 2768601

Thus, we can understand that the LCM of 8679,3509 is 2768601.

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

• LCM of 9500, 1173
• LCM of 5580, 6811
• LCM of 9323, 8773
• LCM of 4921, 3799
• LCM of 6048, 5919

1. What is the LCM of 8679, 3509?

Answer: LCM of 8679, 3509 is 2768601.

2. How to calculate the LCM of 8679, 3509?

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 8679, 3509.

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}.