Least Common Multiple of 723 and 728

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 728 the smallest integer that is 526344 that is divisible by both numbers.

Least Common Multiple (LCM) of 723 and 728 is 526344.

LCM(723,728) = 526344

LCM of 723 and 728

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

LCM of:
and

Least Common Multiple of 723 and 728

LCM of 723 and 728 is 526344

Least common multiple can be found by multiplying the highest exponent prime factors of 723 and 728. First we will calculate the prime factors of 723 and 728.

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 728


2 728
2 364
2 182
7 91
13 13
1

Prime factors of 728 are 2, 7,13. Prime factorization of 728 in exponential form is:

728 = 23×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 723 and 728.

LCM(723,728) = 23×31×71×131×2411
LCM(723,728) = 526344

Factors of 723

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

1, 3, 241, 723

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Least Common Multiple of 723 and 728 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 728, than apply into the LCM equation.

GCF(723,728) = 1
LCM(723,728) = ( 723 × 728) / 1
LCM(723,728) = 526344 / 1
LCM(723,728) = 526344

Properties of LCM 723 and 728

(i) The LCM of 728 and 723 is associative

LCM of 723 and 728 = LCM of 728 and 723

Related Least Common Multiples of 723

Related Least Common Multiples of 728

Frequently Asked Questions on LCM of 723 and 728

1. What is the LCM of 723 and 728?

Answer: LCM of 723 and 728 is 526344.

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 728?

Answer: Factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. There are 16 integers that are factors of 728. The greatest factor of 728 is 728.

4. How to Find the LCM of 723 and 728?

Answer:

Least Common Multiple of 723 and 728 = 526344

Step 1: Find the prime factorization of 723

723 = 3 x 241

Step 2: Find the prime factorization of 728

728 = 2 x 2 x 2 x 7 x 13

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

LCM = 526344 = 2 x 2 x 2 x 3 x 7 x 13 x 241

Step 4: Therefore, the least common multiple of 723 and 728 is 526344.