Given numbers are 5206,6766

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

The LCM of 5206,6766 is 17611898.

Find LCM of 5206,6766 with Prime Factorization

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

2 x 2603 x 3383 = 17611898

Therefore, the lowest common multiple of 5206,6766 is 17611898.

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.

5206 x 6766 = 35223796

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.

5206 : 1, 2, 19, 38, 137, 274, 2603, 5206

6766 : 1, 2, 17, 34, 199, 398, 3383, 6766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5206,6766, is 2.

Now, the common factors can be found like this.

5206:2x 19x 137

6766:2x 17x 199

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 = 35223796/(2x1)

LCM = 35223796/2

LCM = 17611898

Thus, we can understand that the LCM of 5206,6766 is 17611898.

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

• LCM of 9408, 6391
• LCM of 7914, 5970
• LCM of 1435, 5289
• LCM of 6642, 2722
• LCM of 6314, 3887

1. What is the LCM of 5206, 6766?

Answer: LCM of 5206, 6766 is 17611898.

2. How to calculate the LCM of 5206, 6766?

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 5206, 6766.

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}.