Given numbers are 7508,3206

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

The LCM of 7508,3206 is 12035324.

Find LCM of 7508,3206 with Prime Factorization

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

2 x 3754 x 1603 = 12035324

Therefore, the lowest common multiple of 7508,3206 is 12035324.

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.

7508 x 3206 = 24070648

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.

7508 : 1, 2, 4, 1877, 3754, 7508

3206 : 1, 2, 7, 14, 229, 458, 1603, 3206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7508,3206, is 2.

Now, the common factors can be found like this.

7508:2x 2x 1877

3206:2x 7x 229

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 = 24070648/(2x1)

LCM = 24070648/2

LCM = 12035324

Thus, we can understand that the LCM of 7508,3206 is 12035324.

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

• LCM of 4791, 3131
• LCM of 1359, 2867
• LCM of 7674, 1996
• LCM of 5569, 1107
• LCM of 7567, 7636

1. What is the LCM of 7508, 3206?

Answer: LCM of 7508, 3206 is 12035324.

2. How to calculate the LCM of 7508, 3206?

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 7508, 3206.

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}.