Least Common Multiple of 8703 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 8703 and 8710 the smallest integer that is 75803130 that is divisible by both numbers.

Least Common Multiple (LCM) of 8703 and 8710 is 75803130.

LCM(8703,8710) = 75803130

LCM of 8703 and 8710

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

LCM of:
and

Least Common Multiple of 8703 and 8710

LCM of 8703 and 8710 is 75803130

Least common multiple can be found by multiplying the highest exponent prime factors of 8703 and 8710. First we will calculate the prime factors of 8703 and 8710.

Prime Factorization of 8703


3 8703
3 2901
967 967
1

Prime factors of 8703 are 3,967. Prime factorization of 8703 in exponential form is:

8703 = 32×9671

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 8703 and 8710.

LCM(8703,8710) = 21×32×51×131×671×9671
LCM(8703,8710) = 75803130

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1, 3, 9, 967, 2901, 8703

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 8703 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 8703 and 8710, than apply into the LCM equation.

GCF(8703,8710) = 1
LCM(8703,8710) = ( 8703 × 8710) / 1
LCM(8703,8710) = 75803130 / 1
LCM(8703,8710) = 75803130

Properties of LCM 8703 and 8710

(i) The LCM of 8710 and 8703 is associative

LCM of 8703 and 8710 = LCM of 8710 and 8703

Related Least Common Multiples of 8703

Related Least Common Multiples of 8710

Frequently Asked Questions on LCM of 8703 and 8710

1. What is the LCM of 8703 and 8710?

Answer: LCM of 8703 and 8710 is 75803130.

2. What are the Factors of 8703?

Answer: Factors of 8703 are 1, 3, 9, 967, 2901, 8703. There are 6 integers that are factors of 8703. The greatest factor of 8703 is 8703.

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 8703 and 8710?

Answer:

Least Common Multiple of 8703 and 8710 = 75803130

Step 1: Find the prime factorization of 8703

8703 = 3 x 3 x 967

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 = 75803130 = 2 x 3 x 3 x 5 x 13 x 67 x 967

Step 4: Therefore, the least common multiple of 8703 and 8710 is 75803130.