Given numbers are 7648,7114

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

The LCM of 7648,7114 is 27203936.

Find LCM of 7648,7114 with Prime Factorization

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

2 x 3824 x 3557 = 27203936

Therefore, the lowest common multiple of 7648,7114 is 27203936.

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.

7648 x 7114 = 54407872

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.

7648 : 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648

7114 : 1, 2, 3557, 7114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7648,7114, is 2.

Now, the common factors can be found like this.

7648:2x 2x 2x 2x 2x 239

7114:2x 3557

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 = 54407872/(2x1)

LCM = 54407872/2

LCM = 27203936

Thus, we can understand that the LCM of 7648,7114 is 27203936.

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

• LCM of 9853, 8135
• LCM of 2988, 6175
• LCM of 4077, 4212
• LCM of 1203, 7617
• LCM of 4051, 2609

1. What is the LCM of 7648, 7114?

Answer: LCM of 7648, 7114 is 27203936.

2. How to calculate the LCM of 7648, 7114?

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 7648, 7114.

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}.