Given numbers are 1074,6586

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

The LCM of 1074,6586 is 3536682.

Find LCM of 1074,6586 with Prime Factorization

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

2 x 537 x 3293 = 3536682

Therefore, the lowest common multiple of 1074,6586 is 3536682.

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.

1074 x 6586 = 7073364

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.

1074 : 1, 2, 3, 6, 179, 358, 537, 1074

6586 : 1, 2, 37, 74, 89, 178, 3293, 6586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1074,6586, is 2.

Now, the common factors can be found like this.

1074:2x 3x 179

6586:2x 37x 89

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 = 7073364/(2x1)

LCM = 7073364/2

LCM = 3536682

Thus, we can understand that the LCM of 1074,6586 is 3536682.

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

• LCM of 4992, 5317
• LCM of 1674, 5226
• LCM of 1389, 3548
• LCM of 4815, 4120
• LCM of 8900, 6941

1. What is the LCM of 1074, 6586?

Answer: LCM of 1074, 6586 is 3536682.

2. How to calculate the LCM of 1074, 6586?

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 1074, 6586.

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}.