Given numbers are 9735,2007

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

The LCM of 9735,2007 is 6512715.

Find LCM of 9735,2007 with Prime Factorization

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

3 x 3245 x 669 = 6512715

Therefore, the lowest common multiple of 9735,2007 is 6512715.

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.

9735 x 2007 = 19538145

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.

9735 : 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735

2007 : 1, 3, 9, 223, 669, 2007

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9735,2007, is 3.

Now, the common factors can be found like this.

9735:3x 5x 11x 59

2007:3x 3x 223

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 = 19538145/(3x1)

LCM = 19538145/3

LCM = 6512715

Thus, we can understand that the LCM of 9735,2007 is 6512715.

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

• LCM of 6383, 9462
• LCM of 7318, 3902
• LCM of 2604, 4551
• LCM of 8145, 5746
• LCM of 5185, 3966

1. What is the LCM of 9735, 2007?

Answer: LCM of 9735, 2007 is 6512715.

2. How to calculate the LCM of 9735, 2007?

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 9735, 2007.

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}.