Least Common Multiple of 725 and 732

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 732 the smallest integer that is 530700 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 732 is 530700.

LCM(725,732) = 530700

LCM of 725 and 732

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

LCM of:
and

Least Common Multiple of 725 and 732

LCM of 725 and 732 is 530700

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 732. First we will calculate the prime factors of 725 and 732.

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 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 732.

LCM(725,732) = 22×31×52×291×611
LCM(725,732) = 530700

Factors of 725

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

1, 5, 25, 29, 145, 725

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Least Common Multiple of 725 and 732 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 732, than apply into the LCM equation.

GCF(725,732) = 1
LCM(725,732) = ( 725 × 732) / 1
LCM(725,732) = 530700 / 1
LCM(725,732) = 530700

Properties of LCM 725 and 732

(i) The LCM of 732 and 725 is associative

LCM of 725 and 732 = LCM of 732 and 725

Related Least Common Multiples of 725

Related Least Common Multiples of 732

Frequently Asked Questions on LCM of 725 and 732

1. What is the LCM of 725 and 732?

Answer: LCM of 725 and 732 is 530700.

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 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

4. How to Find the LCM of 725 and 732?

Answer:

Least Common Multiple of 725 and 732 = 530700

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

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

LCM = 530700 = 2 x 2 x 3 x 5 x 5 x 29 x 61

Step 4: Therefore, the least common multiple of 725 and 732 is 530700.