Least Common Multiple of 5716 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 5716 and 5723 the smallest integer that is 32712668 that is divisible by both numbers.

Least Common Multiple (LCM) of 5716 and 5723 is 32712668.

LCM(5716,5723) = 32712668

LCM of 5716 and 5723

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

LCM of:
and

Least Common Multiple of 5716 and 5723

LCM of 5716 and 5723 is 32712668

Least common multiple can be found by multiplying the highest exponent prime factors of 5716 and 5723. First we will calculate the prime factors of 5716 and 5723.

Prime Factorization of 5716


2 5716
2 2858
1429 1429
1

Prime factors of 5716 are 2,1429. Prime factorization of 5716 in exponential form is:

5716 = 22×14291

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 5716 and 5723.

LCM(5716,5723) = 22×591×971×14291
LCM(5716,5723) = 32712668

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1, 2, 4, 1429, 2858, 5716

Factors of 5723

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

1, 59, 97, 5723

Least Common Multiple of 5716 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 5716 and 5723, than apply into the LCM equation.

GCF(5716,5723) = 1
LCM(5716,5723) = ( 5716 × 5723) / 1
LCM(5716,5723) = 32712668 / 1
LCM(5716,5723) = 32712668

Properties of LCM 5716 and 5723

(i) The LCM of 5723 and 5716 is associative

LCM of 5716 and 5723 = LCM of 5723 and 5716

Related Least Common Multiples of 5716

Related Least Common Multiples of 5723

Frequently Asked Questions on LCM of 5716 and 5723

1. What is the LCM of 5716 and 5723?

Answer: LCM of 5716 and 5723 is 32712668.

2. What are the Factors of 5716?

Answer: Factors of 5716 are 1, 2, 4, 1429, 2858, 5716. There are 6 integers that are factors of 5716. The greatest factor of 5716 is 5716.

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 5716 and 5723?

Answer:

Least Common Multiple of 5716 and 5723 = 32712668

Step 1: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

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 = 32712668 = 2 x 2 x 59 x 97 x 1429

Step 4: Therefore, the least common multiple of 5716 and 5723 is 32712668.