Given numbers are 2314,7054

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

The LCM of 2314,7054 is 8161478.

Find LCM of 2314,7054 with Prime Factorization

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

2 x 1157 x 3527 = 8161478

Therefore, the lowest common multiple of 2314,7054 is 8161478.

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.

2314 x 7054 = 16322956

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.

2314 : 1, 2, 13, 26, 89, 178, 1157, 2314

7054 : 1, 2, 3527, 7054

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2314,7054, is 2.

Now, the common factors can be found like this.

2314:2x 13x 89

7054:2x 3527

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 = 16322956/(2x1)

LCM = 16322956/2

LCM = 8161478

Thus, we can understand that the LCM of 2314,7054 is 8161478.

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

• LCM of 7781, 1136
• LCM of 8904, 5242
• LCM of 4729, 1838
• LCM of 1333, 9725
• LCM of 8130, 1386

1. What is the LCM of 2314, 7054?

Answer: LCM of 2314, 7054 is 8161478.

2. How to calculate the LCM of 2314, 7054?

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 2314, 7054.

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}.