Given numbers are 2546,2010

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

The LCM of 2546,2010 is 38190.

Find LCM of 2546,2010 with Prime Factorization

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

2 x 67 x 19 x 15 = 38190

Therefore, the lowest common multiple of 2546,2010 is 38190.

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.

2546 x 2010 = 5117460

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.

2546 : 1, 2, 19, 38, 67, 134, 1273, 2546

2010 : 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010

134 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2546,2010, is 134.

Now, the common factors can be found like this.

2546:2x 19x 67

2010:2x 3x 5x 67

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 = 5117460/(134x1)

LCM = 5117460/134

LCM = 38190

Thus, we can understand that the LCM of 2546,2010 is 38190.

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

• LCM of 6466, 7472
• LCM of 8130, 8039
• LCM of 8857, 6028
• LCM of 1814, 2660
• LCM of 9485, 1217

1. What is the LCM of 2546, 2010?

Answer: LCM of 2546, 2010 is 38190.

2. How to calculate the LCM of 2546, 2010?

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 2546, 2010.

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}.