Given numbers are 1256,2252

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

The LCM of 1256,2252 is 707128.

Find LCM of 1256,2252 with Prime Factorization

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

2 x 2 x 314 x 563 = 707128

Therefore, the lowest common multiple of 1256,2252 is 707128.

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.

1256 x 2252 = 2828512

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.

1256 : 1, 2, 4, 8, 157, 314, 628, 1256

2252 : 1, 2, 4, 563, 1126, 2252

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1256,2252, is 4.

Now, the common factors can be found like this.

1256:2x 2x 2x 157

2252:2x 2x 563

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 = 2828512/(4x1)

LCM = 2828512/4

LCM = 707128

Thus, we can understand that the LCM of 1256,2252 is 707128.

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

• LCM of 6591, 2868
• LCM of 8877, 1236
• LCM of 2668, 8189
• LCM of 7429, 3022
• LCM of 1331, 6571

1. What is the LCM of 1256, 2252?

Answer: LCM of 1256, 2252 is 707128.

2. How to calculate the LCM of 1256, 2252?

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 1256, 2252.

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}.