Least Common Multiple of 5710 and 5716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5710 and 5716 the smallest integer that is 16319180 that is divisible by both numbers.

Least Common Multiple (LCM) of 5710 and 5716 is 16319180.

LCM(5710,5716) = 16319180

LCM of 5710 and 5716

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

LCM of:
and

Least Common Multiple of 5710 and 5716

LCM of 5710 and 5716 is 16319180

Least common multiple can be found by multiplying the highest exponent prime factors of 5710 and 5716. First we will calculate the prime factors of 5710 and 5716.

Prime Factorization of 5710


2 5710
5 2855
571 571
1

Prime factors of 5710 are 2, 5,571. Prime factorization of 5710 in exponential form is:

5710 = 21×51×5711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5710 and 5716.

LCM(5710,5716) = 22×51×5711×14291
LCM(5710,5716) = 16319180

Factors of 5710

List of positive integer factors of 5710 that divides 5710 without a remainder.

1, 2, 5, 10, 571, 1142, 2855, 5710

Factors of 5716

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

1, 2, 4, 1429, 2858, 5716

Least Common Multiple of 5710 and 5716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5710 and 5716, than apply into the LCM equation.

GCF(5710,5716) = 2
LCM(5710,5716) = ( 5710 × 5716) / 2
LCM(5710,5716) = 32638360 / 2
LCM(5710,5716) = 16319180

Properties of LCM 5710 and 5716

(i) The LCM of 5716 and 5710 is associative

LCM of 5710 and 5716 = LCM of 5716 and 5710

Related Least Common Multiples of 5710

Related Least Common Multiples of 5716

Frequently Asked Questions on LCM of 5710 and 5716

1. What is the LCM of 5710 and 5716?

Answer: LCM of 5710 and 5716 is 16319180.

2. What are the Factors of 5710?

Answer: Factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710. There are 8 integers that are factors of 5710. The greatest factor of 5710 is 5710.

3. 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.

4. How to Find the LCM of 5710 and 5716?

Answer:

Least Common Multiple of 5710 and 5716 = 16319180

Step 1: Find the prime factorization of 5710

5710 = 2 x 5 x 571

Step 2: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

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

LCM = 16319180 = 2 x 2 x 5 x 571 x 1429

Step 4: Therefore, the least common multiple of 5710 and 5716 is 16319180.