Least Common Multiple of 8707 and 8715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8707 and 8715 the smallest integer that is 75881505 that is divisible by both numbers.

Least Common Multiple (LCM) of 8707 and 8715 is 75881505.

LCM(8707,8715) = 75881505

LCM of 8707 and 8715

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8707 and 8715

LCM of 8707 and 8715 is 75881505

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8715. First we will calculate the prime factors of 8707 and 8715.

Prime Factorization of 8707


8707 8707
1

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 87071

Prime Factorization of 8715


3 8715
5 2905
7 581
83 83
1

Prime factors of 8715 are 3, 5, 7,83. Prime factorization of 8715 in exponential form is:

8715 = 31×51×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8715.

LCM(8707,8715) = 31×51×71×831×87071
LCM(8707,8715) = 75881505

Factors of 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

1, 8707

Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715

Least Common Multiple of 8707 and 8715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8707 and 8715, than apply into the LCM equation.

GCF(8707,8715) = 1
LCM(8707,8715) = ( 8707 × 8715) / 1
LCM(8707,8715) = 75881505 / 1
LCM(8707,8715) = 75881505

Properties of LCM 8707 and 8715

(i) The LCM of 8715 and 8707 is associative

LCM of 8707 and 8715 = LCM of 8715 and 8707

Related Least Common Multiples of 8707

Related Least Common Multiples of 8715

Frequently Asked Questions on LCM of 8707 and 8715

1. What is the LCM of 8707 and 8715?

Answer: LCM of 8707 and 8715 is 75881505.

2. What are the Factors of 8707?

Answer: Factors of 8707 are 1, 8707. There are 2 integers that are factors of 8707. The greatest factor of 8707 is 8707.

3. What are the Factors of 8715?

Answer: Factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715. There are 16 integers that are factors of 8715. The greatest factor of 8715 is 8715.

4. How to Find the LCM of 8707 and 8715?

Answer:

Least Common Multiple of 8707 and 8715 = 75881505

Step 1: Find the prime factorization of 8707

8707 = 8707

Step 2: Find the prime factorization of 8715

8715 = 3 x 5 x 7 x 83

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 75881505 = 3 x 5 x 7 x 83 x 8707

Step 4: Therefore, the least common multiple of 8707 and 8715 is 75881505.