Least Common Multiple of 709 and 711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 709 and 711 the smallest integer that is 504099 that is divisible by both numbers.

Least Common Multiple (LCM) of 709 and 711 is 504099.

LCM(709,711) = 504099

LCM of 709 and 711

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

LCM of:
and

Least Common Multiple of 709 and 711

LCM of 709 and 711 is 504099

Least common multiple can be found by multiplying the highest exponent prime factors of 709 and 711. First we will calculate the prime factors of 709 and 711.

Prime Factorization of 709


709 709
1

Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:

709 = 7091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 709 and 711.

LCM(709,711) = 32×791×7091
LCM(709,711) = 504099

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1, 709

Factors of 711

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

1, 3, 9, 79, 237, 711

Least Common Multiple of 709 and 711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 709 and 711, than apply into the LCM equation.

GCF(709,711) = 1
LCM(709,711) = ( 709 × 711) / 1
LCM(709,711) = 504099 / 1
LCM(709,711) = 504099

Properties of LCM 709 and 711

(i) The LCM of 711 and 709 is associative

LCM of 709 and 711 = LCM of 711 and 709

Related Least Common Multiples of 709

Related Least Common Multiples of 711

Frequently Asked Questions on LCM of 709 and 711

1. What is the LCM of 709 and 711?

Answer: LCM of 709 and 711 is 504099.

2. What are the Factors of 709?

Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.

3. 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.

4. How to Find the LCM of 709 and 711?

Answer:

Least Common Multiple of 709 and 711 = 504099

Step 1: Find the prime factorization of 709

709 = 709

Step 2: Find the prime factorization of 711

711 = 3 x 3 x 79

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

LCM = 504099 = 3 x 3 x 79 x 709

Step 4: Therefore, the least common multiple of 709 and 711 is 504099.