Least Common Multiple of 5679 and 5686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5679 and 5686 the smallest integer that is 32290794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5679 and 5686 is 32290794.

LCM(5679,5686) = 32290794

LCM of 5679 and 5686

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

LCM of:
and

Least Common Multiple of 5679 and 5686

LCM of 5679 and 5686 is 32290794

Least common multiple can be found by multiplying the highest exponent prime factors of 5679 and 5686. First we will calculate the prime factors of 5679 and 5686.

Prime Factorization of 5679


3 5679
3 1893
631 631
1

Prime factors of 5679 are 3,631. Prime factorization of 5679 in exponential form is:

5679 = 32×6311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5679 and 5686.

LCM(5679,5686) = 21×32×6311×28431
LCM(5679,5686) = 32290794

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1, 3, 9, 631, 1893, 5679

Factors of 5686

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

1, 2, 2843, 5686

Least Common Multiple of 5679 and 5686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5679 and 5686, than apply into the LCM equation.

GCF(5679,5686) = 1
LCM(5679,5686) = ( 5679 × 5686) / 1
LCM(5679,5686) = 32290794 / 1
LCM(5679,5686) = 32290794

Properties of LCM 5679 and 5686

(i) The LCM of 5686 and 5679 is associative

LCM of 5679 and 5686 = LCM of 5686 and 5679

Related Least Common Multiples of 5679

Related Least Common Multiples of 5686

Frequently Asked Questions on LCM of 5679 and 5686

1. What is the LCM of 5679 and 5686?

Answer: LCM of 5679 and 5686 is 32290794.

2. What are the Factors of 5679?

Answer: Factors of 5679 are 1, 3, 9, 631, 1893, 5679. There are 6 integers that are factors of 5679. The greatest factor of 5679 is 5679.

3. 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.

4. How to Find the LCM of 5679 and 5686?

Answer:

Least Common Multiple of 5679 and 5686 = 32290794

Step 1: Find the prime factorization of 5679

5679 = 3 x 3 x 631

Step 2: Find the prime factorization of 5686

5686 = 2 x 2843

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

LCM = 32290794 = 2 x 3 x 3 x 631 x 2843

Step 4: Therefore, the least common multiple of 5679 and 5686 is 32290794.