Least Common Multiple of 723 and 730

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 730 the smallest integer that is 527790 that is divisible by both numbers.

Least Common Multiple (LCM) of 723 and 730 is 527790.

LCM(723,730) = 527790

LCM of 723 and 730

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

LCM of:
and

Least Common Multiple of 723 and 730

LCM of 723 and 730 is 527790

Least common multiple can be found by multiplying the highest exponent prime factors of 723 and 730. First we will calculate the prime factors of 723 and 730.

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 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 723 and 730.

LCM(723,730) = 21×31×51×731×2411
LCM(723,730) = 527790

Factors of 723

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

1, 3, 241, 723

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Least Common Multiple of 723 and 730 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 730, than apply into the LCM equation.

GCF(723,730) = 1
LCM(723,730) = ( 723 × 730) / 1
LCM(723,730) = 527790 / 1
LCM(723,730) = 527790

Properties of LCM 723 and 730

(i) The LCM of 730 and 723 is associative

LCM of 723 and 730 = LCM of 730 and 723

Related Least Common Multiples of 723

Related Least Common Multiples of 730

Frequently Asked Questions on LCM of 723 and 730

1. What is the LCM of 723 and 730?

Answer: LCM of 723 and 730 is 527790.

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 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the LCM of 723 and 730?

Answer:

Least Common Multiple of 723 and 730 = 527790

Step 1: Find the prime factorization of 723

723 = 3 x 241

Step 2: Find the prime factorization of 730

730 = 2 x 5 x 73

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

LCM = 527790 = 2 x 3 x 5 x 73 x 241

Step 4: Therefore, the least common multiple of 723 and 730 is 527790.