Given numbers are 2564,7414

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

The LCM of 2564,7414 is 9504748.

Find LCM of 2564,7414 with Prime Factorization

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

2 x 1282 x 3707 = 9504748

Therefore, the lowest common multiple of 2564,7414 is 9504748.

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.

2564 x 7414 = 19009496

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.

2564 : 1, 2, 4, 641, 1282, 2564

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2564,7414, is 2.

Now, the common factors can be found like this.

2564:2x 2x 641

7414:2x 11x 337

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 = 19009496/(2x1)

LCM = 19009496/2

LCM = 9504748

Thus, we can understand that the LCM of 2564,7414 is 9504748.

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

• LCM of 6815, 5021
• LCM of 4370, 4172
• LCM of 5357, 6928
• LCM of 5294, 6256
• LCM of 9683, 9427

1. What is the LCM of 2564, 7414?

Answer: LCM of 2564, 7414 is 9504748.

2. How to calculate the LCM of 2564, 7414?

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 2564, 7414.

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}.