Given numbers are 4102,6874

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

The LCM of 4102,6874 is 2014082.

Find LCM of 4102,6874 with Prime Factorization

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

2 x 7 x 293 x 491 = 2014082

Therefore, the lowest common multiple of 4102,6874 is 2014082.

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.

4102 x 6874 = 28197148

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.

4102 : 1, 2, 7, 14, 293, 586, 2051, 4102

6874 : 1, 2, 7, 14, 491, 982, 3437, 6874

14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4102,6874, is 14.

Now, the common factors can be found like this.

4102:2x 7x 293

6874:2x 7x 491

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 = 28197148/(14x1)

LCM = 28197148/14

LCM = 2014082

Thus, we can understand that the LCM of 4102,6874 is 2014082.

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

• LCM of 4617, 3307
• LCM of 8247, 9485
• LCM of 6822, 7466
• LCM of 9301, 5228
• LCM of 6680, 4089

1. What is the LCM of 4102, 6874?

Answer: LCM of 4102, 6874 is 2014082.

2. How to calculate the LCM of 4102, 6874?

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 4102, 6874.

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}.