Given numbers are 2506,2174

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

The LCM of 2506,2174 is 2724022.

Find LCM of 2506,2174 with Prime Factorization

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

2 x 1253 x 1087 = 2724022

Therefore, the lowest common multiple of 2506,2174 is 2724022.

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.

2506 x 2174 = 5448044

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.

2506 : 1, 2, 7, 14, 179, 358, 1253, 2506

2174 : 1, 2, 1087, 2174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2506,2174, is 2.

Now, the common factors can be found like this.

2506:2x 7x 179

2174:2x 1087

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 = 5448044/(2x1)

LCM = 5448044/2

LCM = 2724022

Thus, we can understand that the LCM of 2506,2174 is 2724022.

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

• LCM of 7764, 5949
• LCM of 8798, 9265
• LCM of 7855, 7302
• LCM of 2104, 4858
• LCM of 2087, 9280

1. What is the LCM of 2506, 2174?

Answer: LCM of 2506, 2174 is 2724022.

2. How to calculate the LCM of 2506, 2174?

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 2506, 2174.

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}.