Given numbers are 9628,6074

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

The LCM of 9628,6074 is 29240236.

Find LCM of 9628,6074 with Prime Factorization

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

2 x 4814 x 3037 = 29240236

Therefore, the lowest common multiple of 9628,6074 is 29240236.

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.

9628 x 6074 = 58480472

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.

9628 : 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628

6074 : 1, 2, 3037, 6074

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9628,6074, is 2.

Now, the common factors can be found like this.

9628:2x 2x 29x 83

6074:2x 3037

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 = 58480472/(2x1)

LCM = 58480472/2

LCM = 29240236

Thus, we can understand that the LCM of 9628,6074 is 29240236.

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

• LCM of 6761, 2288
• LCM of 2866, 5332
• LCM of 1217, 1494
• LCM of 2279, 3613
• LCM of 7195, 4874

1. What is the LCM of 9628, 6074?

Answer: LCM of 9628, 6074 is 29240236.

2. How to calculate the LCM of 9628, 6074?

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 9628, 6074.

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}.