# Least Common Multiple of 725 and 729

Free LCM Calculator determines the least common multiple (LCM) between 725 and 729 the smallest integer that is 528525 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 729 is 528525.

LCM(725,729) = 528525

## LCM of 725 and 729

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

LCM of:
and

### Least Common Multiple (LCM) of 725 and 729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 729. First we will calculate the prime factors of 725 and 729.

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

Prime Factorization of 729

 3 729 3 243 3 81 3 27 3 9 3 3 1

Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:

729 = 36

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 729.

LCM(725,729) = 36×52×291
LCM(725,729) = 528525

Factors of 725

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

1, 5, 25, 29, 145, 725

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

### Least Common Multiple of 725 and 729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 729, than apply into the LCM equation.

GCF(725,729) = 1
LCM(725,729) = ( 725 × 729) / 1
LCM(725,729) = 528525 / 1
LCM(725,729) = 528525

### Properties of LCM 725 and 729

(i) The LCM of 729 and 725 is associative

LCM of 725 and 729 = LCM of 729 and 725

### Frequently Asked Questions on LCM of 725 and 729

1. What is the LCM of 725 and 729?

Answer: LCM of 725 and 729 is 528525.

2. 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.

3. What are the Factors of 729?

Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.

4. How to Find the LCM of 725 and 729?

Least Common Multiple of 725 and 729 = 528525

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 729

729 = 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 528525 = 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 29

Step 4: Therefore, the least common multiple of 725 and 729 is 528525.