Given numbers are 8974,8614

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

The LCM of 8974,8614 is 38651018.

Find LCM of 8974,8614 with Prime Factorization

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

2 x 4487 x 4307 = 38651018

Therefore, the lowest common multiple of 8974,8614 is 38651018.

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.

8974 x 8614 = 77302036

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.

8974 : 1, 2, 7, 14, 641, 1282, 4487, 8974

8614 : 1, 2, 59, 73, 118, 146, 4307, 8614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8974,8614, is 2.

Now, the common factors can be found like this.

8974:2x 7x 641

8614:2x 59x 73

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 = 77302036/(2x1)

LCM = 77302036/2

LCM = 38651018

Thus, we can understand that the LCM of 8974,8614 is 38651018.

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

• LCM of 8677, 7115
• LCM of 7912, 7293
• LCM of 3033, 7214
• LCM of 4468, 4877
• LCM of 7344, 7313

1. What is the LCM of 8974, 8614?

Answer: LCM of 8974, 8614 is 38651018.

2. How to calculate the LCM of 8974, 8614?

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 8974, 8614.

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}.