Given numbers are 2004,2654

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

The LCM of 2004,2654 is 2659308.

Find LCM of 2004,2654 with Prime Factorization

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

2 x 1002 x 1327 = 2659308

Therefore, the lowest common multiple of 2004,2654 is 2659308.

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.

2004 x 2654 = 5318616

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.

2004 : 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

2654 : 1, 2, 1327, 2654

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2004,2654, is 2.

Now, the common factors can be found like this.

2004:2x 2x 3x 167

2654:2x 1327

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 = 5318616/(2x1)

LCM = 5318616/2

LCM = 2659308

Thus, we can understand that the LCM of 2004,2654 is 2659308.

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

• LCM of 7550, 6644
• LCM of 1808, 2850
• LCM of 3749, 7061
• LCM of 6300, 7816
• LCM of 9601, 3705

1. What is the LCM of 2004, 2654?

Answer: LCM of 2004, 2654 is 2659308.

2. How to calculate the LCM of 2004, 2654?

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 2004, 2654.

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}.