Least Common Multiple of 725 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 725 and 728 the smallest integer that is 527800 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 728 is 527800.

LCM(725,728) = 527800

LCM of 725 and 728

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

LCM of:
and

Least Common Multiple of 725 and 728

LCM of 725 and 728 is 527800

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 728. First we will calculate the prime factors of 725 and 728.

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 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 725 and 728.

LCM(725,728) = 23×52×71×131×291
LCM(725,728) = 527800

Factors of 725

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

1, 5, 25, 29, 145, 725

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 725 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 725 and 728, than apply into the LCM equation.

GCF(725,728) = 1
LCM(725,728) = ( 725 × 728) / 1
LCM(725,728) = 527800 / 1
LCM(725,728) = 527800

Properties of LCM 725 and 728

(i) The LCM of 728 and 725 is associative

LCM of 725 and 728 = LCM of 728 and 725

Related Least Common Multiples of 725

Related Least Common Multiples of 728

Frequently Asked Questions on LCM of 725 and 728

1. What is the LCM of 725 and 728?

Answer: LCM of 725 and 728 is 527800.

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 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 725 and 728?

Answer:

Least Common Multiple of 725 and 728 = 527800

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

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 = 527800 = 2 x 2 x 2 x 5 x 5 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 725 and 728 is 527800.