Given numbers are 1164,9506

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

The LCM of 1164,9506 is 57036.

Find LCM of 1164,9506 with Prime Factorization

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

2 x 97 x 6 x 49 = 57036

Therefore, the lowest common multiple of 1164,9506 is 57036.

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.

1164 x 9506 = 11064984

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.

1164 : 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164

9506 : 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

194 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1164,9506, is 194.

Now, the common factors can be found like this.

1164:2x 2x 3x 97

9506:2x 7x 7x 97

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 = 11064984/(194x1)

LCM = 11064984/194

LCM = 57036

Thus, we can understand that the LCM of 1164,9506 is 57036.

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

• LCM of 5704, 3707
• LCM of 5176, 1616
• LCM of 4778, 3466
• LCM of 9731, 7370
• LCM of 8154, 1995

1. What is the LCM of 1164, 9506?

Answer: LCM of 1164, 9506 is 57036.

2. How to calculate the LCM of 1164, 9506?

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 1164, 9506.

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}.