Given numbers are 9628,1354

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

The LCM of 9628,1354 is 6518156.

Find LCM of 9628,1354 with Prime Factorization

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

2 x 4814 x 677 = 6518156

Therefore, the lowest common multiple of 9628,1354 is 6518156.

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 1354 = 13036312

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

1354 : 1, 2, 677, 1354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9628,1354, is 2.

Now, the common factors can be found like this.

9628:2x 2x 29x 83

1354:2x 677

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 = 13036312/(2x1)

LCM = 13036312/2

LCM = 6518156

Thus, we can understand that the LCM of 9628,1354 is 6518156.

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

• LCM of 3409, 4386
• LCM of 9704, 3373
• LCM of 7576, 5550
• LCM of 2340, 5924
• LCM of 7015, 1291

1. What is the LCM of 9628, 1354?

Answer: LCM of 9628, 1354 is 6518156.

2. How to calculate the LCM of 9628, 1354?

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, 1354.

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}.