Least Common Multiple of 720 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 720 and 725 the smallest integer that is 104400 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 725 is 104400.

LCM(720,725) = 104400

LCM of 720 and 725

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

LCM of:
and

Least Common Multiple of 720 and 725

LCM of 720 and 725 is 104400

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 725. First we will calculate the prime factors of 720 and 725.

Prime Factorization of 720


2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 720 are 2, 3,5. Prime factorization of 720 in exponential form is:

720 = 24×32×51

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 720 and 725.

LCM(720,725) = 24×32×52×291
LCM(720,725) = 104400

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 720 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 720 and 725, than apply into the LCM equation.

GCF(720,725) = 5
LCM(720,725) = ( 720 × 725) / 5
LCM(720,725) = 522000 / 5
LCM(720,725) = 104400

Properties of LCM 720 and 725

(i) The LCM of 725 and 720 is associative

LCM of 720 and 725 = LCM of 725 and 720

Related Least Common Multiples of 720

Related Least Common Multiples of 725

Frequently Asked Questions on LCM of 720 and 725

1. What is the LCM of 720 and 725?

Answer: LCM of 720 and 725 is 104400.

2. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

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 720 and 725?

Answer:

Least Common Multiple of 720 and 725 = 104400

Step 1: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

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 = 104400 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29

Step 4: Therefore, the least common multiple of 720 and 725 is 104400.