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Least Common Multiple of 725 and 731

Free LCM Calculator determines the least common multiple (LCM) between 725 and 731 the smallest integer that is 529975 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 731 is 529975.

LCM(725,731) = 529975

LCM of 725 and 731

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

LCM of:
and

Least Common Multiple (LCM) of 725 and 731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 731. First we will calculate the prime factors of 725 and 731.

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 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 731.

LCM(725,731) = 52×171×291×431
LCM(725,731) = 529975

Factors of 725

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

1, 5, 25, 29, 145, 725

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Least Common Multiple of 725 and 731 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 731, than apply into the LCM equation.

GCF(725,731) = 1
LCM(725,731) = ( 725 × 731) / 1
LCM(725,731) = 529975 / 1
LCM(725,731) = 529975

Properties of LCM 725 and 731

(i) The LCM of 731 and 725 is associative

LCM of 725 and 731 = LCM of 731 and 725

Frequently Asked Questions on LCM of 725 and 731

1. What is the LCM of 725 and 731?

Answer: LCM of 725 and 731 is 529975.

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 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the LCM of 725 and 731?

Answer:

Least Common Multiple of 725 and 731 = 529975

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 731

731 = 17 x 43

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

LCM = 529975 = 5 x 5 x 17 x 29 x 43

Step 4: Therefore, the least common multiple of 725 and 731 is 529975.