Least Common Multiple of 703 and 710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 703 and 710 the smallest integer that is 499130 that is divisible by both numbers.

Least Common Multiple (LCM) of 703 and 710 is 499130.

LCM(703,710) = 499130

LCM of 703 and 710

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

LCM of:
and

Least Common Multiple of 703 and 710

LCM of 703 and 710 is 499130

Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 710. First we will calculate the prime factors of 703 and 710.

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

Prime Factorization of 710


2 710
5 355
71 71
1

Prime factors of 710 are 2, 5,71. Prime factorization of 710 in exponential form is:

710 = 21×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 703 and 710.

LCM(703,710) = 21×51×191×371×711
LCM(703,710) = 499130

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Least Common Multiple of 703 and 710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 703 and 710, than apply into the LCM equation.

GCF(703,710) = 1
LCM(703,710) = ( 703 × 710) / 1
LCM(703,710) = 499130 / 1
LCM(703,710) = 499130

Properties of LCM 703 and 710

(i) The LCM of 710 and 703 is associative

LCM of 703 and 710 = LCM of 710 and 703

Related Least Common Multiples of 703

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 703 and 710

1. What is the LCM of 703 and 710?

Answer: LCM of 703 and 710 is 499130.

2. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

3. What are the Factors of 710?

Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.

4. How to Find the LCM of 703 and 710?

Answer:

Least Common Multiple of 703 and 710 = 499130

Step 1: Find the prime factorization of 703

703 = 19 x 37

Step 2: Find the prime factorization of 710

710 = 2 x 5 x 71

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

LCM = 499130 = 2 x 5 x 19 x 37 x 71

Step 4: Therefore, the least common multiple of 703 and 710 is 499130.