Least Common Multiple of 719 and 723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 719 and 723 the smallest integer that is 519837 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 723 is 519837.

LCM(719,723) = 519837

LCM of 719 and 723

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

LCM of:
and

Least Common Multiple of 719 and 723

LCM of 719 and 723 is 519837

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 723. First we will calculate the prime factors of 719 and 723.

Prime Factorization of 719


719 719
1

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

719 = 7191

Prime Factorization of 723


3 723
241 241
1

Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:

723 = 31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 723.

LCM(719,723) = 31×2411×7191
LCM(719,723) = 519837

Factors of 719

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

1, 719

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Least Common Multiple of 719 and 723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 719 and 723, than apply into the LCM equation.

GCF(719,723) = 1
LCM(719,723) = ( 719 × 723) / 1
LCM(719,723) = 519837 / 1
LCM(719,723) = 519837

Properties of LCM 719 and 723

(i) The LCM of 723 and 719 is associative

LCM of 719 and 723 = LCM of 723 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 723

Frequently Asked Questions on LCM of 719 and 723

1. What is the LCM of 719 and 723?

Answer: LCM of 719 and 723 is 519837.

2. 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.

3. What are the Factors of 723?

Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.

4. How to Find the LCM of 719 and 723?

Answer:

Least Common Multiple of 719 and 723 = 519837

Step 1: Find the prime factorization of 719

719 = 719

Step 2: Find the prime factorization of 723

723 = 3 x 241

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

LCM = 519837 = 3 x 241 x 719

Step 4: Therefore, the least common multiple of 719 and 723 is 519837.