Least Common Multiple of 721 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 721 and 725 the smallest integer that is 522725 that is divisible by both numbers.

Least Common Multiple (LCM) of 721 and 725 is 522725.

LCM(721,725) = 522725

LCM of 721 and 725

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

LCM of:
and

Least Common Multiple of 721 and 725

LCM of 721 and 725 is 522725

Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 725. First we will calculate the prime factors of 721 and 725.

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

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 721 and 725.

LCM(721,725) = 52×71×291×1031
LCM(721,725) = 522725

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 721 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 721 and 725, than apply into the LCM equation.

GCF(721,725) = 1
LCM(721,725) = ( 721 × 725) / 1
LCM(721,725) = 522725 / 1
LCM(721,725) = 522725

Properties of LCM 721 and 725

(i) The LCM of 725 and 721 is associative

LCM of 721 and 725 = LCM of 725 and 721

Related Least Common Multiples of 721

Related Least Common Multiples of 725

Frequently Asked Questions on LCM of 721 and 725

1. What is the LCM of 721 and 725?

Answer: LCM of 721 and 725 is 522725.

2. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

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 721 and 725?

Answer:

Least Common Multiple of 721 and 725 = 522725

Step 1: Find the prime factorization of 721

721 = 7 x 103

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 = 522725 = 5 x 5 x 7 x 29 x 103

Step 4: Therefore, the least common multiple of 721 and 725 is 522725.