Least Common Multiple of 723 and 727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 723 and 727 the smallest integer that is 525621 that is divisible by both numbers.

Least Common Multiple (LCM) of 723 and 727 is 525621.

LCM(723,727) = 525621

LCM of 723 and 727

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

LCM of:
and

Least Common Multiple of 723 and 727

LCM of 723 and 727 is 525621

Least common multiple can be found by multiplying the highest exponent prime factors of 723 and 727. First we will calculate the prime factors of 723 and 727.

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

Prime Factorization of 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 723 and 727.

LCM(723,727) = 31×2411×7271
LCM(723,727) = 525621

Factors of 723

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

1, 3, 241, 723

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

Least Common Multiple of 723 and 727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 723 and 727, than apply into the LCM equation.

GCF(723,727) = 1
LCM(723,727) = ( 723 × 727) / 1
LCM(723,727) = 525621 / 1
LCM(723,727) = 525621

Properties of LCM 723 and 727

(i) The LCM of 727 and 723 is associative

LCM of 723 and 727 = LCM of 727 and 723

Related Least Common Multiples of 723

Related Least Common Multiples of 727

Frequently Asked Questions on LCM of 723 and 727

1. What is the LCM of 723 and 727?

Answer: LCM of 723 and 727 is 525621.

2. 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.

3. What are the Factors of 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the LCM of 723 and 727?

Answer:

Least Common Multiple of 723 and 727 = 525621

Step 1: Find the prime factorization of 723

723 = 3 x 241

Step 2: Find the prime factorization of 727

727 = 727

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

LCM = 525621 = 3 x 241 x 727

Step 4: Therefore, the least common multiple of 723 and 727 is 525621.