Given numbers are 2274,6682

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

The LCM of 2274,6682 is 7597434.

Find LCM of 2274,6682 with Prime Factorization

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

2 x 1137 x 3341 = 7597434

Therefore, the lowest common multiple of 2274,6682 is 7597434.

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.

2274 x 6682 = 15194868

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.

2274 : 1, 2, 3, 6, 379, 758, 1137, 2274

6682 : 1, 2, 13, 26, 257, 514, 3341, 6682

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2274,6682, is 2.

Now, the common factors can be found like this.

2274:2x 3x 379

6682:2x 13x 257

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 = 15194868/(2x1)

LCM = 15194868/2

LCM = 7597434

Thus, we can understand that the LCM of 2274,6682 is 7597434.

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

• LCM of 9160, 2626
• LCM of 5823, 7831
• LCM of 8938, 5531
• LCM of 2597, 8194
• LCM of 7349, 7524

1. What is the LCM of 2274, 6682?

Answer: LCM of 2274, 6682 is 7597434.

2. How to calculate the LCM of 2274, 6682?

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 2274, 6682.

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}.