Least Common Multiple of 5716 and 5722

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 5722 the smallest integer that is 16353476 that is divisible by both numbers.

Least Common Multiple (LCM) of 5716 and 5722 is 16353476.

LCM(5716,5722) = 16353476

LCM of 5716 and 5722

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

LCM of:
and

Least Common Multiple of 5716 and 5722

LCM of 5716 and 5722 is 16353476

Least common multiple can be found by multiplying the highest exponent prime factors of 5716 and 5722. First we will calculate the prime factors of 5716 and 5722.

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 5722


2 5722
2861 2861
1

Prime factors of 5722 are 2,2861. Prime factorization of 5722 in exponential form is:

5722 = 21×28611

Now multiplying the highest exponent prime factors to calculate the LCM of 5716 and 5722.

LCM(5716,5722) = 22×14291×28611
LCM(5716,5722) = 16353476

Factors of 5716

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

1, 2, 4, 1429, 2858, 5716

Factors of 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1, 2, 2861, 5722

Least Common Multiple of 5716 and 5722 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 5722, than apply into the LCM equation.

GCF(5716,5722) = 2
LCM(5716,5722) = ( 5716 × 5722) / 2
LCM(5716,5722) = 32706952 / 2
LCM(5716,5722) = 16353476

Properties of LCM 5716 and 5722

(i) The LCM of 5722 and 5716 is associative

LCM of 5716 and 5722 = LCM of 5722 and 5716

Related Least Common Multiples of 5716

Related Least Common Multiples of 5722

Frequently Asked Questions on LCM of 5716 and 5722

1. What is the LCM of 5716 and 5722?

Answer: LCM of 5716 and 5722 is 16353476.

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 5722?

Answer: Factors of 5722 are 1, 2, 2861, 5722. There are 4 integers that are factors of 5722. The greatest factor of 5722 is 5722.

4. How to Find the LCM of 5716 and 5722?

Answer:

Least Common Multiple of 5716 and 5722 = 16353476

Step 1: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

Step 2: Find the prime factorization of 5722

5722 = 2 x 2861

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

LCM = 16353476 = 2 x 2 x 1429 x 2861

Step 4: Therefore, the least common multiple of 5716 and 5722 is 16353476.