Given numbers are 7315,7705

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

The LCM of 7315,7705 is 11272415.

Find LCM of 7315,7705 with Prime Factorization

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

5 x 1463 x 1541 = 11272415

Therefore, the lowest common multiple of 7315,7705 is 11272415.

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.

7315 x 7705 = 56362075

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.

7315 : 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315

7705 : 1, 5, 23, 67, 115, 335, 1541, 7705

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7315,7705, is 5.

Now, the common factors can be found like this.

7315:5x 7x 11x 19

7705:5x 23x 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 = 56362075/(5x1)

LCM = 56362075/5

LCM = 11272415

Thus, we can understand that the LCM of 7315,7705 is 11272415.

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

• LCM of 1078, 2838
• LCM of 7360, 3433
• LCM of 6625, 8778
• LCM of 8159, 2127
• LCM of 2945, 5328

1. What is the LCM of 7315, 7705?

Answer: LCM of 7315, 7705 is 11272415.

2. How to calculate the LCM of 7315, 7705?

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 7315, 7705.

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}.