Least Common Multiple of 8707 and 8710

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 8710 the smallest integer that is 75837970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8707 and 8710 is 75837970.

LCM(8707,8710) = 75837970

LCM of 8707 and 8710

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

LCM of:
and

Least Common Multiple of 8707 and 8710

LCM of 8707 and 8710 is 75837970

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8710. First we will calculate the prime factors of 8707 and 8710.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8710.

LCM(8707,8710) = 21×51×131×671×87071
LCM(8707,8710) = 75837970

Factors of 8707

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

1, 8707

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

Least Common Multiple of 8707 and 8710 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 8710, than apply into the LCM equation.

GCF(8707,8710) = 1
LCM(8707,8710) = ( 8707 × 8710) / 1
LCM(8707,8710) = 75837970 / 1
LCM(8707,8710) = 75837970

Properties of LCM 8707 and 8710

(i) The LCM of 8710 and 8707 is associative

LCM of 8707 and 8710 = LCM of 8710 and 8707

Related Least Common Multiples of 8707

Related Least Common Multiples of 8710

Frequently Asked Questions on LCM of 8707 and 8710

1. What is the LCM of 8707 and 8710?

Answer: LCM of 8707 and 8710 is 75837970.

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 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.

4. How to Find the LCM of 8707 and 8710?

Answer:

Least Common Multiple of 8707 and 8710 = 75837970

Step 1: Find the prime factorization of 8707

8707 = 8707

Step 2: Find the prime factorization of 8710

8710 = 2 x 5 x 13 x 67

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

LCM = 75837970 = 2 x 5 x 13 x 67 x 8707

Step 4: Therefore, the least common multiple of 8707 and 8710 is 75837970.