Least Common Multiple of 709 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 709 and 713 the smallest integer that is 505517 that is divisible by both numbers.

Least Common Multiple (LCM) of 709 and 713 is 505517.

LCM(709,713) = 505517

LCM of 709 and 713

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

LCM of:
and

Least Common Multiple of 709 and 713

LCM of 709 and 713 is 505517

Least common multiple can be found by multiplying the highest exponent prime factors of 709 and 713. First we will calculate the prime factors of 709 and 713.

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 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 709 and 713.

LCM(709,713) = 231×311×7091
LCM(709,713) = 505517

Factors of 709

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

1, 709

Factors of 713

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

1, 23, 31, 713

Least Common Multiple of 709 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 709 and 713, than apply into the LCM equation.

GCF(709,713) = 1
LCM(709,713) = ( 709 × 713) / 1
LCM(709,713) = 505517 / 1
LCM(709,713) = 505517

Properties of LCM 709 and 713

(i) The LCM of 713 and 709 is associative

LCM of 709 and 713 = LCM of 713 and 709

Related Least Common Multiples of 709

Related Least Common Multiples of 713

Frequently Asked Questions on LCM of 709 and 713

1. What is the LCM of 709 and 713?

Answer: LCM of 709 and 713 is 505517.

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 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 709 and 713?

Answer:

Least Common Multiple of 709 and 713 = 505517

Step 1: Find the prime factorization of 709

709 = 709

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 = 505517 = 23 x 31 x 709

Step 4: Therefore, the least common multiple of 709 and 713 is 505517.