Least Common Multiple of 725 and 733

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 733 the smallest integer that is 531425 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 733 is 531425.

LCM(725,733) = 531425

LCM of 725 and 733

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

LCM of:
and

Least Common Multiple of 725 and 733

LCM of 725 and 733 is 531425

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 733. First we will calculate the prime factors of 725 and 733.

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 733


733 733
1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 733.

LCM(725,733) = 52×291×7331
LCM(725,733) = 531425

Factors of 725

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

1, 5, 25, 29, 145, 725

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1, 733

Least Common Multiple of 725 and 733 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 733, than apply into the LCM equation.

GCF(725,733) = 1
LCM(725,733) = ( 725 × 733) / 1
LCM(725,733) = 531425 / 1
LCM(725,733) = 531425

Properties of LCM 725 and 733

(i) The LCM of 733 and 725 is associative

LCM of 725 and 733 = LCM of 733 and 725

Related Least Common Multiples of 725

Related Least Common Multiples of 733

Frequently Asked Questions on LCM of 725 and 733

1. What is the LCM of 725 and 733?

Answer: LCM of 725 and 733 is 531425.

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 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

4. How to Find the LCM of 725 and 733?

Answer:

Least Common Multiple of 725 and 733 = 531425

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 733

733 = 733

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

LCM = 531425 = 5 x 5 x 29 x 733

Step 4: Therefore, the least common multiple of 725 and 733 is 531425.