Least Common Multiple of 5717 and 5723

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 5723 the smallest integer that is 32718391 that is divisible by both numbers.

Least Common Multiple (LCM) of 5717 and 5723 is 32718391.

LCM(5717,5723) = 32718391

LCM of 5717 and 5723

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

LCM of:
and

Least Common Multiple of 5717 and 5723

LCM of 5717 and 5723 is 32718391

Least common multiple can be found by multiplying the highest exponent prime factors of 5717 and 5723. First we will calculate the prime factors of 5717 and 5723.

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 5723


59 5723
97 97
1

Prime factors of 5723 are 59,97. Prime factorization of 5723 in exponential form is:

5723 = 591×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5717 and 5723.

LCM(5717,5723) = 591×971×57171
LCM(5717,5723) = 32718391

Factors of 5717

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

1, 5717

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1, 59, 97, 5723

Least Common Multiple of 5717 and 5723 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 5723, than apply into the LCM equation.

GCF(5717,5723) = 1
LCM(5717,5723) = ( 5717 × 5723) / 1
LCM(5717,5723) = 32718391 / 1
LCM(5717,5723) = 32718391

Properties of LCM 5717 and 5723

(i) The LCM of 5723 and 5717 is associative

LCM of 5717 and 5723 = LCM of 5723 and 5717

Related Least Common Multiples of 5717

Related Least Common Multiples of 5723

Frequently Asked Questions on LCM of 5717 and 5723

1. What is the LCM of 5717 and 5723?

Answer: LCM of 5717 and 5723 is 32718391.

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 5723?

Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.

4. How to Find the LCM of 5717 and 5723?

Answer:

Least Common Multiple of 5717 and 5723 = 32718391

Step 1: Find the prime factorization of 5717

5717 = 5717

Step 2: Find the prime factorization of 5723

5723 = 59 x 97

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

LCM = 32718391 = 59 x 97 x 5717

Step 4: Therefore, the least common multiple of 5717 and 5723 is 32718391.