Given numbers are 9837,9705

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

The LCM of 9837,9705 is 31822695.

Find LCM of 9837,9705 with Prime Factorization

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

3 x 3279 x 3235 = 31822695

Therefore, the lowest common multiple of 9837,9705 is 31822695.

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.

9837 x 9705 = 95468085

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.

9837 : 1, 3, 9, 1093, 3279, 9837

9705 : 1, 3, 5, 15, 647, 1941, 3235, 9705

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9837,9705, is 3.

Now, the common factors can be found like this.

9837:3x 3x 1093

9705:3x 5x 647

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 = 95468085/(3x1)

LCM = 95468085/3

LCM = 31822695

Thus, we can understand that the LCM of 9837,9705 is 31822695.

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

• LCM of 3973, 1605
• LCM of 9972, 5156
• LCM of 3065, 7392
• LCM of 3343, 2106
• LCM of 6412, 2471

1. What is the LCM of 9837, 9705?

Answer: LCM of 9837, 9705 is 31822695.

2. How to calculate the LCM of 9837, 9705?

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 9837, 9705.

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}.