Least Common Multiple of 710 and 713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 710 and 713 the smallest integer that is 506230 that is divisible by both numbers.

Least Common Multiple (LCM) of 710 and 713 is 506230.

LCM(710,713) = 506230

LCM of 710 and 713

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

LCM of:
and

Least Common Multiple of 710 and 713

LCM of 710 and 713 is 506230

Least common multiple can be found by multiplying the highest exponent prime factors of 710 and 713. First we will calculate the prime factors of 710 and 713.

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

Prime Factorization of 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 710 and 713.

LCM(710,713) = 21×51×231×311×711
LCM(710,713) = 506230

Factors of 710

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

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

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Least Common Multiple of 710 and 713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 710 and 713, than apply into the LCM equation.

GCF(710,713) = 1
LCM(710,713) = ( 710 × 713) / 1
LCM(710,713) = 506230 / 1
LCM(710,713) = 506230

Properties of LCM 710 and 713

(i) The LCM of 713 and 710 is associative

LCM of 710 and 713 = LCM of 713 and 710

Related Least Common Multiples of 710

Related Least Common Multiples of 713

Frequently Asked Questions on LCM of 710 and 713

1. What is the LCM of 710 and 713?

Answer: LCM of 710 and 713 is 506230.

2. 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.

3. What are the Factors of 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

4. How to Find the LCM of 710 and 713?

Answer:

Least Common Multiple of 710 and 713 = 506230

Step 1: Find the prime factorization of 710

710 = 2 x 5 x 71

Step 2: Find the prime factorization of 713

713 = 23 x 31

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

LCM = 506230 = 2 x 5 x 23 x 31 x 71

Step 4: Therefore, the least common multiple of 710 and 713 is 506230.