Given numbers are 2078,9102

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

The LCM of 2078,9102 is 9456978.

Find LCM of 2078,9102 with Prime Factorization

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

2 x 1039 x 4551 = 9456978

Therefore, the lowest common multiple of 2078,9102 is 9456978.

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.

2078 x 9102 = 18913956

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.

2078 : 1, 2, 1039, 2078

9102 : 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2078,9102, is 2.

Now, the common factors can be found like this.

2078:2x 1039

9102:2x 3x 37x 41

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 = 18913956/(2x1)

LCM = 18913956/2

LCM = 9456978

Thus, we can understand that the LCM of 2078,9102 is 9456978.

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

• LCM of 2183, 9226
• LCM of 1298, 3126
• LCM of 9088, 1363
• LCM of 6875, 9549
• LCM of 4577, 7064

1. What is the LCM of 2078, 9102?

Answer: LCM of 2078, 9102 is 9456978.

2. How to calculate the LCM of 2078, 9102?

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 2078, 9102.

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}.