Given numbers are 7006,3414

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

The LCM of 7006,3414 is 11959242.

Find LCM of 7006,3414 with Prime Factorization

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

2 x 3503 x 1707 = 11959242

Therefore, the lowest common multiple of 7006,3414 is 11959242.

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.

7006 x 3414 = 23918484

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.

7006 : 1, 2, 31, 62, 113, 226, 3503, 7006

3414 : 1, 2, 3, 6, 569, 1138, 1707, 3414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7006,3414, is 2.

Now, the common factors can be found like this.

7006:2x 31x 113

3414:2x 3x 569

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 = 23918484/(2x1)

LCM = 23918484/2

LCM = 11959242

Thus, we can understand that the LCM of 7006,3414 is 11959242.

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

• LCM of 6483, 4882
• LCM of 1763, 1611
• LCM of 6837, 6601
• LCM of 9417, 3808
• LCM of 5744, 8057

1. What is the LCM of 7006, 3414?

Answer: LCM of 7006, 3414 is 11959242.

2. How to calculate the LCM of 7006, 3414?

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 7006, 3414.

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}.