Least Common Multiple of 5679 and 5683

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 5683 the smallest integer that is 32273757 that is divisible by both numbers.

Least Common Multiple (LCM) of 5679 and 5683 is 32273757.

LCM(5679,5683) = 32273757

LCM of 5679 and 5683

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

LCM of:
and

Least Common Multiple of 5679 and 5683

LCM of 5679 and 5683 is 32273757

Least common multiple can be found by multiplying the highest exponent prime factors of 5679 and 5683. First we will calculate the prime factors of 5679 and 5683.

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 5683


5683 5683
1

Prime factors of 5683 are 5683. Prime factorization of 5683 in exponential form is:

5683 = 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 5679 and 5683.

LCM(5679,5683) = 32×6311×56831
LCM(5679,5683) = 32273757

Factors of 5679

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

1, 3, 9, 631, 1893, 5679

Factors of 5683

List of positive integer factors of 5683 that divides 5683 without a remainder.

1, 5683

Least Common Multiple of 5679 and 5683 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 5683, than apply into the LCM equation.

GCF(5679,5683) = 1
LCM(5679,5683) = ( 5679 × 5683) / 1
LCM(5679,5683) = 32273757 / 1
LCM(5679,5683) = 32273757

Properties of LCM 5679 and 5683

(i) The LCM of 5683 and 5679 is associative

LCM of 5679 and 5683 = LCM of 5683 and 5679

Related Least Common Multiples of 5679

Related Least Common Multiples of 5683

Frequently Asked Questions on LCM of 5679 and 5683

1. What is the LCM of 5679 and 5683?

Answer: LCM of 5679 and 5683 is 32273757.

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 5683?

Answer: Factors of 5683 are 1, 5683. There are 2 integers that are factors of 5683. The greatest factor of 5683 is 5683.

4. How to Find the LCM of 5679 and 5683?

Answer:

Least Common Multiple of 5679 and 5683 = 32273757

Step 1: Find the prime factorization of 5679

5679 = 3 x 3 x 631

Step 2: Find the prime factorization of 5683

5683 = 5683

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

LCM = 32273757 = 3 x 3 x 631 x 5683

Step 4: Therefore, the least common multiple of 5679 and 5683 is 32273757.