Least Common Multiple of 8710 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 8710 and 8715 the smallest integer that is 15181530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8710 and 8715 is 15181530.

LCM(8710,8715) = 15181530

LCM of 8710 and 8715

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

LCM of:
and

Least Common Multiple of 8710 and 8715

LCM of 8710 and 8715 is 15181530

Least common multiple can be found by multiplying the highest exponent prime factors of 8710 and 8715. First we will calculate the prime factors of 8710 and 8715.

Prime Factorization of 8710


2 8710
5 4355
13 871
67 67
1

Prime factors of 8710 are 2, 5, 13,67. Prime factorization of 8710 in exponential form is:

8710 = 21×51×131×671

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 8710 and 8715.

LCM(8710,8715) = 21×31×51×71×131×671×831
LCM(8710,8715) = 15181530

Factors of 8710

List of positive integer factors of 8710 that divides 8710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710

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 8710 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 8710 and 8715, than apply into the LCM equation.

GCF(8710,8715) = 5
LCM(8710,8715) = ( 8710 × 8715) / 5
LCM(8710,8715) = 75907650 / 5
LCM(8710,8715) = 15181530

Properties of LCM 8710 and 8715

(i) The LCM of 8715 and 8710 is associative

LCM of 8710 and 8715 = LCM of 8715 and 8710

Related Least Common Multiples of 8710

Related Least Common Multiples of 8715

Frequently Asked Questions on LCM of 8710 and 8715

1. What is the LCM of 8710 and 8715?

Answer: LCM of 8710 and 8715 is 15181530.

2. What are the Factors of 8710?

Answer: Factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710. There are 16 integers that are factors of 8710. The greatest factor of 8710 is 8710.

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 8710 and 8715?

Answer:

Least Common Multiple of 8710 and 8715 = 15181530

Step 1: Find the prime factorization of 8710

8710 = 2 x 5 x 13 x 67

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 = 15181530 = 2 x 3 x 5 x 7 x 13 x 67 x 83

Step 4: Therefore, the least common multiple of 8710 and 8715 is 15181530.