Least Common Multiple of 5714 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 5714 and 5716 the smallest integer that is 16330612 that is divisible by both numbers.

Least Common Multiple (LCM) of 5714 and 5716 is 16330612.

LCM(5714,5716) = 16330612

LCM of 5714 and 5716

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

LCM of:
and

Least Common Multiple of 5714 and 5716

LCM of 5714 and 5716 is 16330612

Least common multiple can be found by multiplying the highest exponent prime factors of 5714 and 5716. First we will calculate the prime factors of 5714 and 5716.

Prime Factorization of 5714


2 5714
2857 2857
1

Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:

5714 = 21×28571

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 5714 and 5716.

LCM(5714,5716) = 22×14291×28571
LCM(5714,5716) = 16330612

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1, 2, 2857, 5714

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 5714 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 5714 and 5716, than apply into the LCM equation.

GCF(5714,5716) = 2
LCM(5714,5716) = ( 5714 × 5716) / 2
LCM(5714,5716) = 32661224 / 2
LCM(5714,5716) = 16330612

Properties of LCM 5714 and 5716

(i) The LCM of 5716 and 5714 is associative

LCM of 5714 and 5716 = LCM of 5716 and 5714

Related Least Common Multiples of 5714

Related Least Common Multiples of 5716

Frequently Asked Questions on LCM of 5714 and 5716

1. What is the LCM of 5714 and 5716?

Answer: LCM of 5714 and 5716 is 16330612.

2. What are the Factors of 5714?

Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.

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 5714 and 5716?

Answer:

Least Common Multiple of 5714 and 5716 = 16330612

Step 1: Find the prime factorization of 5714

5714 = 2 x 2857

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 = 16330612 = 2 x 2 x 1429 x 2857

Step 4: Therefore, the least common multiple of 5714 and 5716 is 16330612.