Given numbers are 2005,6965

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

The LCM of 2005,6965 is 2792965.

Find LCM of 2005,6965 with Prime Factorization

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

5 x 401 x 1393 = 2792965

Therefore, the lowest common multiple of 2005,6965 is 2792965.

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.

2005 x 6965 = 13964825

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.

2005 : 1, 5, 401, 2005

6965 : 1, 5, 7, 35, 199, 995, 1393, 6965

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2005,6965, is 5.

Now, the common factors can be found like this.

2005:5x 401

6965:5x 7x 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 = 13964825/(5x1)

LCM = 13964825/5

LCM = 2792965

Thus, we can understand that the LCM of 2005,6965 is 2792965.

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

• LCM of 4639, 3557
• LCM of 3416, 4712
• LCM of 8385, 6001
• LCM of 7939, 5834
• LCM of 7376, 3737

1. What is the LCM of 2005, 6965?

Answer: LCM of 2005, 6965 is 2792965.

2. How to calculate the LCM of 2005, 6965?

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 2005, 6965.

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}.