Least Common Multiple of 5716 and 5721

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 5721 the smallest integer that is 32701236 that is divisible by both numbers.

Least Common Multiple (LCM) of 5716 and 5721 is 32701236.

LCM(5716,5721) = 32701236

LCM of 5716 and 5721

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

LCM of:
and

Least Common Multiple of 5716 and 5721

LCM of 5716 and 5721 is 32701236

Least common multiple can be found by multiplying the highest exponent prime factors of 5716 and 5721. First we will calculate the prime factors of 5716 and 5721.

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 5721


3 5721
1907 1907
1

Prime factors of 5721 are 3,1907. Prime factorization of 5721 in exponential form is:

5721 = 31×19071

Now multiplying the highest exponent prime factors to calculate the LCM of 5716 and 5721.

LCM(5716,5721) = 22×31×14291×19071
LCM(5716,5721) = 32701236

Factors of 5716

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

1, 2, 4, 1429, 2858, 5716

Factors of 5721

List of positive integer factors of 5721 that divides 5721 without a remainder.

1, 3, 1907, 5721

Least Common Multiple of 5716 and 5721 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 5721, than apply into the LCM equation.

GCF(5716,5721) = 1
LCM(5716,5721) = ( 5716 × 5721) / 1
LCM(5716,5721) = 32701236 / 1
LCM(5716,5721) = 32701236

Properties of LCM 5716 and 5721

(i) The LCM of 5721 and 5716 is associative

LCM of 5716 and 5721 = LCM of 5721 and 5716

Related Least Common Multiples of 5716

Related Least Common Multiples of 5721

Frequently Asked Questions on LCM of 5716 and 5721

1. What is the LCM of 5716 and 5721?

Answer: LCM of 5716 and 5721 is 32701236.

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 5721?

Answer: Factors of 5721 are 1, 3, 1907, 5721. There are 4 integers that are factors of 5721. The greatest factor of 5721 is 5721.

4. How to Find the LCM of 5716 and 5721?

Answer:

Least Common Multiple of 5716 and 5721 = 32701236

Step 1: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

Step 2: Find the prime factorization of 5721

5721 = 3 x 1907

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

LCM = 32701236 = 2 x 2 x 3 x 1429 x 1907

Step 4: Therefore, the least common multiple of 5716 and 5721 is 32701236.