Given numbers are 9628,4454

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

The LCM of 9628,4454 is 21441556.

Find LCM of 9628,4454 with Prime Factorization

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

2 x 4814 x 2227 = 21441556

Therefore, the lowest common multiple of 9628,4454 is 21441556.

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 4454 = 42883112

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

4454 : 1, 2, 17, 34, 131, 262, 2227, 4454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9628,4454, is 2.

Now, the common factors can be found like this.

9628:2x 2x 29x 83

4454:2x 17x 131

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 = 42883112/(2x1)

LCM = 42883112/2

LCM = 21441556

Thus, we can understand that the LCM of 9628,4454 is 21441556.

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

• LCM of 3761, 9560
• LCM of 2429, 7059
• LCM of 2515, 8510
• LCM of 6479, 9006
• LCM of 7573, 3909

1. What is the LCM of 9628, 4454?

Answer: LCM of 9628, 4454 is 21441556.

2. How to calculate the LCM of 9628, 4454?

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, 4454.

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}.