Given numbers are 3504,8031

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

The LCM of 3504,8031 is 9380208.

Find LCM of 3504,8031 with Prime Factorization

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

3 x 1168 x 2677 = 9380208

Therefore, the lowest common multiple of 3504,8031 is 9380208.

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.

3504 x 8031 = 28140624

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.

3504 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504

8031 : 1, 3, 2677, 8031

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3504,8031, is 3.

Now, the common factors can be found like this.

3504:2x 2x 2x 2x 3x 73

8031:3x 2677

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 = 28140624/(3x1)

LCM = 28140624/3

LCM = 9380208

Thus, we can understand that the LCM of 3504,8031 is 9380208.

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

• LCM of 5774, 3473
• LCM of 6197, 8498
• LCM of 5943, 1049
• LCM of 7244, 4835
• LCM of 4395, 9763

1. What is the LCM of 3504, 8031?

Answer: LCM of 3504, 8031 is 9380208.

2. How to calculate the LCM of 3504, 8031?

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 3504, 8031.

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}.