Given numbers are 6904,2102

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

The LCM of 6904,2102 is 7256104.

Find LCM of 6904,2102 with Prime Factorization

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

2 x 3452 x 1051 = 7256104

Therefore, the lowest common multiple of 6904,2102 is 7256104.

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.

6904 x 2102 = 14512208

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.

6904 : 1, 2, 4, 8, 863, 1726, 3452, 6904

2102 : 1, 2, 1051, 2102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6904,2102, is 2.

Now, the common factors can be found like this.

6904:2x 2x 2x 863

2102:2x 1051

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 = 14512208/(2x1)

LCM = 14512208/2

LCM = 7256104

Thus, we can understand that the LCM of 6904,2102 is 7256104.

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

• LCM of 9402, 4383
• LCM of 2553, 3727
• LCM of 6684, 1301
• LCM of 5044, 5026
• LCM of 7312, 3226

1. What is the LCM of 6904, 2102?

Answer: LCM of 6904, 2102 is 7256104.

2. How to calculate the LCM of 6904, 2102?

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 6904, 2102.

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}.