Given numbers are 8382,5514

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

The LCM of 8382,5514 is 7703058.

Find LCM of 8382,5514 with Prime Factorization

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

2 x 3 x 1397 x 919 = 7703058

Therefore, the lowest common multiple of 8382,5514 is 7703058.

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.

8382 x 5514 = 46218348

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.

8382 : 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382

5514 : 1, 2, 3, 6, 919, 1838, 2757, 5514

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8382,5514, is 6.

Now, the common factors can be found like this.

8382:2x 3x 11x 127

5514:2x 3x 919

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 = 46218348/(6x1)

LCM = 46218348/6

LCM = 7703058

Thus, we can understand that the LCM of 8382,5514 is 7703058.

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

• LCM of 3213, 7529
• LCM of 9433, 9954
• LCM of 3097, 3936
• LCM of 3346, 8849
• LCM of 8596, 5825

1. What is the LCM of 8382, 5514?

Answer: LCM of 8382, 5514 is 7703058.

2. How to calculate the LCM of 8382, 5514?

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 8382, 5514.

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}.