Least Common Multiple of 5686 and 5690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5686 and 5690 the smallest integer that is 16176670 that is divisible by both numbers.

Least Common Multiple (LCM) of 5686 and 5690 is 16176670.

LCM(5686,5690) = 16176670

LCM of 5686 and 5690

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

LCM of:
and

Least Common Multiple of 5686 and 5690

LCM of 5686 and 5690 is 16176670

Least common multiple can be found by multiplying the highest exponent prime factors of 5686 and 5690. First we will calculate the prime factors of 5686 and 5690.

Prime Factorization of 5686


2 5686
2843 2843
1

Prime factors of 5686 are 2,2843. Prime factorization of 5686 in exponential form is:

5686 = 21×28431

Prime Factorization of 5690


2 5690
5 2845
569 569
1

Prime factors of 5690 are 2, 5,569. Prime factorization of 5690 in exponential form is:

5690 = 21×51×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 5686 and 5690.

LCM(5686,5690) = 21×51×5691×28431
LCM(5686,5690) = 16176670

Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1, 2, 2843, 5686

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1, 2, 5, 10, 569, 1138, 2845, 5690

Least Common Multiple of 5686 and 5690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5686 and 5690, than apply into the LCM equation.

GCF(5686,5690) = 2
LCM(5686,5690) = ( 5686 × 5690) / 2
LCM(5686,5690) = 32353340 / 2
LCM(5686,5690) = 16176670

Properties of LCM 5686 and 5690

(i) The LCM of 5690 and 5686 is associative

LCM of 5686 and 5690 = LCM of 5690 and 5686

Related Least Common Multiples of 5686

Related Least Common Multiples of 5690

Frequently Asked Questions on LCM of 5686 and 5690

1. What is the LCM of 5686 and 5690?

Answer: LCM of 5686 and 5690 is 16176670.

2. What are the Factors of 5686?

Answer: Factors of 5686 are 1, 2, 2843, 5686. There are 4 integers that are factors of 5686. The greatest factor of 5686 is 5686.

3. What are the Factors of 5690?

Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.

4. How to Find the LCM of 5686 and 5690?

Answer:

Least Common Multiple of 5686 and 5690 = 16176670

Step 1: Find the prime factorization of 5686

5686 = 2 x 2843

Step 2: Find the prime factorization of 5690

5690 = 2 x 5 x 569

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

LCM = 16176670 = 2 x 5 x 569 x 2843

Step 4: Therefore, the least common multiple of 5686 and 5690 is 16176670.