Given numbers are 6874,6812

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

The LCM of 6874,6812 is 23412844.

Find LCM of 6874,6812 with Prime Factorization

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

2 x 3437 x 3406 = 23412844

Therefore, the lowest common multiple of 6874,6812 is 23412844.

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.

6874 x 6812 = 46825688

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.

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

6812 : 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6874,6812, is 2.

Now, the common factors can be found like this.

6874:2x 7x 491

6812:2x 2x 13x 131

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 = 46825688/(2x1)

LCM = 46825688/2

LCM = 23412844

Thus, we can understand that the LCM of 6874,6812 is 23412844.

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

• LCM of 3643, 4549
• LCM of 8280, 3629
• LCM of 7492, 7925
• LCM of 8580, 2320
• LCM of 8617, 9304

1. What is the LCM of 6874, 6812?

Answer: LCM of 6874, 6812 is 23412844.

2. How to calculate the LCM of 6874, 6812?

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 6874, 6812.

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}.