Given numbers are 6746,2008

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

The LCM of 6746,2008 is 6772984.

Find LCM of 6746,2008 with Prime Factorization

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

2 x 3373 x 1004 = 6772984

Therefore, the lowest common multiple of 6746,2008 is 6772984.

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.

6746 x 2008 = 13545968

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.

6746 : 1, 2, 3373, 6746

2008 : 1, 2, 4, 8, 251, 502, 1004, 2008

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6746,2008, is 2.

Now, the common factors can be found like this.

6746:2x 3373

2008:2x 2x 2x 251

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 = 13545968/(2x1)

LCM = 13545968/2

LCM = 6772984

Thus, we can understand that the LCM of 6746,2008 is 6772984.

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

• LCM of 5039, 5828
• LCM of 9263, 4388
• LCM of 7361, 1647
• LCM of 8136, 5969
• LCM of 7550, 1344

1. What is the LCM of 6746, 2008?

Answer: LCM of 6746, 2008 is 6772984.

2. How to calculate the LCM of 6746, 2008?

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 6746, 2008.

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}.