Least Common Multiple of 713 and 719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 713 and 719 the smallest integer that is 512647 that is divisible by both numbers.

Least Common Multiple (LCM) of 713 and 719 is 512647.

LCM(713,719) = 512647

LCM of 713 and 719

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

LCM of:
and

Least Common Multiple of 713 and 719

LCM of 713 and 719 is 512647

Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 719. First we will calculate the prime factors of 713 and 719.

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

Prime Factorization of 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 719.

LCM(713,719) = 231×311×7191
LCM(713,719) = 512647

Factors of 713

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

1, 23, 31, 713

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1, 719

Least Common Multiple of 713 and 719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 713 and 719, than apply into the LCM equation.

GCF(713,719) = 1
LCM(713,719) = ( 713 × 719) / 1
LCM(713,719) = 512647 / 1
LCM(713,719) = 512647

Properties of LCM 713 and 719

(i) The LCM of 719 and 713 is associative

LCM of 713 and 719 = LCM of 719 and 713

Related Least Common Multiples of 713

Related Least Common Multiples of 719

Frequently Asked Questions on LCM of 713 and 719

1. What is the LCM of 713 and 719?

Answer: LCM of 713 and 719 is 512647.

2. 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.

3. What are the Factors of 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

4. How to Find the LCM of 713 and 719?

Answer:

Least Common Multiple of 713 and 719 = 512647

Step 1: Find the prime factorization of 713

713 = 23 x 31

Step 2: Find the prime factorization of 719

719 = 719

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

LCM = 512647 = 23 x 31 x 719

Step 4: Therefore, the least common multiple of 713 and 719 is 512647.