Least Common Multiple of 719 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 719 and 725 the smallest integer that is 521275 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 725 is 521275.

LCM(719,725) = 521275

LCM of 719 and 725

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

LCM of:
and

Least Common Multiple of 719 and 725

LCM of 719 and 725 is 521275

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 725. First we will calculate the prime factors of 719 and 725.

Prime Factorization of 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

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 719 and 725.

LCM(719,725) = 52×291×7191
LCM(719,725) = 521275

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1, 719

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 719 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 719 and 725, than apply into the LCM equation.

GCF(719,725) = 1
LCM(719,725) = ( 719 × 725) / 1
LCM(719,725) = 521275 / 1
LCM(719,725) = 521275

Properties of LCM 719 and 725

(i) The LCM of 725 and 719 is associative

LCM of 719 and 725 = LCM of 725 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 725

Frequently Asked Questions on LCM of 719 and 725

1. What is the LCM of 719 and 725?

Answer: LCM of 719 and 725 is 521275.

2. What are the Factors of 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

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 719 and 725?

Answer:

Least Common Multiple of 719 and 725 = 521275

Step 1: Find the prime factorization of 719

719 = 719

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 = 521275 = 5 x 5 x 29 x 719

Step 4: Therefore, the least common multiple of 719 and 725 is 521275.