Least Common Multiple of 711 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 711 and 713 the smallest integer that is 506943 that is divisible by both numbers.

Least Common Multiple (LCM) of 711 and 713 is 506943.

LCM(711,713) = 506943

LCM of 711 and 713

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

LCM of:
and

Least Common Multiple of 711 and 713

LCM of 711 and 713 is 506943

Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 713. First we will calculate the prime factors of 711 and 713.

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

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 711 and 713.

LCM(711,713) = 32×231×311×791
LCM(711,713) = 506943

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Factors of 713

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

1, 23, 31, 713

Least Common Multiple of 711 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 711 and 713, than apply into the LCM equation.

GCF(711,713) = 1
LCM(711,713) = ( 711 × 713) / 1
LCM(711,713) = 506943 / 1
LCM(711,713) = 506943

Properties of LCM 711 and 713

(i) The LCM of 713 and 711 is associative

LCM of 711 and 713 = LCM of 713 and 711

Related Least Common Multiples of 711

Related Least Common Multiples of 713

Frequently Asked Questions on LCM of 711 and 713

1. What is the LCM of 711 and 713?

Answer: LCM of 711 and 713 is 506943.

2. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

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 711 and 713?

Answer:

Least Common Multiple of 711 and 713 = 506943

Step 1: Find the prime factorization of 711

711 = 3 x 3 x 79

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 = 506943 = 3 x 3 x 23 x 31 x 79

Step 4: Therefore, the least common multiple of 711 and 713 is 506943.