Least Common Multiple of 5717 and 5725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5717 and 5725 the smallest integer that is 32729825 that is divisible by both numbers.

Least Common Multiple (LCM) of 5717 and 5725 is 32729825.

LCM(5717,5725) = 32729825

LCM of 5717 and 5725

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

LCM of:
and

Least Common Multiple of 5717 and 5725

LCM of 5717 and 5725 is 32729825

Least common multiple can be found by multiplying the highest exponent prime factors of 5717 and 5725. First we will calculate the prime factors of 5717 and 5725.

Prime Factorization of 5717


5717 5717
1

Prime factors of 5717 are 5717. Prime factorization of 5717 in exponential form is:

5717 = 57171

Prime Factorization of 5725


5 5725
5 1145
229 229
1

Prime factors of 5725 are 5,229. Prime factorization of 5725 in exponential form is:

5725 = 52×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5717 and 5725.

LCM(5717,5725) = 52×2291×57171
LCM(5717,5725) = 32729825

Factors of 5717

List of positive integer factors of 5717 that divides 5717 without a remainder.

1, 5717

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1, 5, 25, 229, 1145, 5725

Least Common Multiple of 5717 and 5725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5717 and 5725, than apply into the LCM equation.

GCF(5717,5725) = 1
LCM(5717,5725) = ( 5717 × 5725) / 1
LCM(5717,5725) = 32729825 / 1
LCM(5717,5725) = 32729825

Properties of LCM 5717 and 5725

(i) The LCM of 5725 and 5717 is associative

LCM of 5717 and 5725 = LCM of 5725 and 5717

Related Least Common Multiples of 5717

Related Least Common Multiples of 5725

Frequently Asked Questions on LCM of 5717 and 5725

1. What is the LCM of 5717 and 5725?

Answer: LCM of 5717 and 5725 is 32729825.

2. What are the Factors of 5717?

Answer: Factors of 5717 are 1, 5717. There are 2 integers that are factors of 5717. The greatest factor of 5717 is 5717.

3. What are the Factors of 5725?

Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.

4. How to Find the LCM of 5717 and 5725?

Answer:

Least Common Multiple of 5717 and 5725 = 32729825

Step 1: Find the prime factorization of 5717

5717 = 5717

Step 2: Find the prime factorization of 5725

5725 = 5 x 5 x 229

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

LCM = 32729825 = 5 x 5 x 229 x 5717

Step 4: Therefore, the least common multiple of 5717 and 5725 is 32729825.