Least Common Multiple of 722 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 722 and 725 the smallest integer that is 523450 that is divisible by both numbers.

Least Common Multiple (LCM) of 722 and 725 is 523450.

LCM(722,725) = 523450

LCM of 722 and 725

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

LCM of:
and

Least Common Multiple of 722 and 725

LCM of 722 and 725 is 523450

Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 725. First we will calculate the prime factors of 722 and 725.

Prime Factorization of 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

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 722 and 725.

LCM(722,725) = 21×52×192×291
LCM(722,725) = 523450

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 722 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 722 and 725, than apply into the LCM equation.

GCF(722,725) = 1
LCM(722,725) = ( 722 × 725) / 1
LCM(722,725) = 523450 / 1
LCM(722,725) = 523450

Properties of LCM 722 and 725

(i) The LCM of 725 and 722 is associative

LCM of 722 and 725 = LCM of 725 and 722

Related Least Common Multiples of 722

Related Least Common Multiples of 725

Frequently Asked Questions on LCM of 722 and 725

1. What is the LCM of 722 and 725?

Answer: LCM of 722 and 725 is 523450.

2. What are the Factors of 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

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 722 and 725?

Answer:

Least Common Multiple of 722 and 725 = 523450

Step 1: Find the prime factorization of 722

722 = 2 x 19 x 19

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 = 523450 = 2 x 5 x 5 x 19 x 19 x 29

Step 4: Therefore, the least common multiple of 722 and 725 is 523450.