Given numbers are 2682,1006

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

The LCM of 2682,1006 is 1349046.

Find LCM of 2682,1006 with Prime Factorization

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

2 x 1341 x 503 = 1349046

Therefore, the lowest common multiple of 2682,1006 is 1349046.

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.

2682 x 1006 = 2698092

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.

2682 : 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682

1006 : 1, 2, 503, 1006

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2682,1006, is 2.

Now, the common factors can be found like this.

2682:2x 3x 3x 149

1006:2x 503

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 = 2698092/(2x1)

LCM = 2698092/2

LCM = 1349046

Thus, we can understand that the LCM of 2682,1006 is 1349046.

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

• LCM of 6010, 1813
• LCM of 9155, 2068
• LCM of 8295, 3391
• LCM of 6036, 9817
• LCM of 4026, 5736

1. What is the LCM of 2682, 1006?

Answer: LCM of 2682, 1006 is 1349046.

2. How to calculate the LCM of 2682, 1006?

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 2682, 1006.

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}.