Given numbers are 6574,9812

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

The LCM of 6574,9812 is 32252044.

Find LCM of 6574,9812 with Prime Factorization

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

2 x 3287 x 4906 = 32252044

Therefore, the lowest common multiple of 6574,9812 is 32252044.

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.

6574 x 9812 = 64504088

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.

6574 : 1, 2, 19, 38, 173, 346, 3287, 6574

9812 : 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6574,9812, is 2.

Now, the common factors can be found like this.

6574:2x 19x 173

9812:2x 2x 11x 223

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 = 64504088/(2x1)

LCM = 64504088/2

LCM = 32252044

Thus, we can understand that the LCM of 6574,9812 is 32252044.

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

• LCM of 1006, 3101
• LCM of 4757, 7955
• LCM of 5262, 5034
• LCM of 6229, 2991
• LCM of 8724, 3145

1. What is the LCM of 6574, 9812?

Answer: LCM of 6574, 9812 is 32252044.

2. How to calculate the LCM of 6574, 9812?

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 6574, 9812.

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}.