Given numbers are 7414,4702

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

The LCM of 7414,4702 is 17430314.

Find LCM of 7414,4702 with Prime Factorization

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

2 x 3707 x 2351 = 17430314

Therefore, the lowest common multiple of 7414,4702 is 17430314.

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.

7414 x 4702 = 34860628

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.

7414 : 1, 2, 11, 22, 337, 674, 3707, 7414

4702 : 1, 2, 2351, 4702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7414,4702, is 2.

Now, the common factors can be found like this.

7414:2x 11x 337

4702:2x 2351

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 = 34860628/(2x1)

LCM = 34860628/2

LCM = 17430314

Thus, we can understand that the LCM of 7414,4702 is 17430314.

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

• LCM of 8450, 3871
• LCM of 2816, 6289
• LCM of 3952, 7743
• LCM of 8171, 6813
• LCM of 9035, 9402

1. What is the LCM of 7414, 4702?

Answer: LCM of 7414, 4702 is 17430314.

2. How to calculate the LCM of 7414, 4702?

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 7414, 4702.

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}.