Least Common Multiple of 723 and 725

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 725 the smallest integer that is 524175 that is divisible by both numbers.

Least Common Multiple (LCM) of 723 and 725 is 524175.

LCM(723,725) = 524175

LCM of 723 and 725

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

LCM of:
and

Least Common Multiple of 723 and 725

LCM of 723 and 725 is 524175

Least common multiple can be found by multiplying the highest exponent prime factors of 723 and 725. First we will calculate the prime factors of 723 and 725.

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 725


5 725
5 145
29 29
1

Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:

725 = 52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 723 and 725.

LCM(723,725) = 31×52×291×2411
LCM(723,725) = 524175

Factors of 723

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

1, 3, 241, 723

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Least Common Multiple of 723 and 725 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 725, than apply into the LCM equation.

GCF(723,725) = 1
LCM(723,725) = ( 723 × 725) / 1
LCM(723,725) = 524175 / 1
LCM(723,725) = 524175

Properties of LCM 723 and 725

(i) The LCM of 725 and 723 is associative

LCM of 723 and 725 = LCM of 725 and 723

Related Least Common Multiples of 723

Related Least Common Multiples of 725

Frequently Asked Questions on LCM of 723 and 725

1. What is the LCM of 723 and 725?

Answer: LCM of 723 and 725 is 524175.

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 725?

Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.

4. How to Find the LCM of 723 and 725?

Answer:

Least Common Multiple of 723 and 725 = 524175

Step 1: Find the prime factorization of 723

723 = 3 x 241

Step 2: Find the prime factorization of 725

725 = 5 x 5 x 29

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

LCM = 524175 = 3 x 5 x 5 x 29 x 241

Step 4: Therefore, the least common multiple of 723 and 725 is 524175.