Least Common Multiple of 5682 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 5682 and 5683 the smallest integer that is 32290806 that is divisible by both numbers.

Least Common Multiple (LCM) of 5682 and 5683 is 32290806.

LCM(5682,5683) = 32290806

LCM of 5682 and 5683

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

LCM of:
and

Least Common Multiple of 5682 and 5683

LCM of 5682 and 5683 is 32290806

Least common multiple can be found by multiplying the highest exponent prime factors of 5682 and 5683. First we will calculate the prime factors of 5682 and 5683.

Prime Factorization of 5682


2 5682
3 2841
947 947
1

Prime factors of 5682 are 2, 3,947. Prime factorization of 5682 in exponential form is:

5682 = 21×31×9471

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 5682 and 5683.

LCM(5682,5683) = 21×31×9471×56831
LCM(5682,5683) = 32290806

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1, 2, 3, 6, 947, 1894, 2841, 5682

Factors of 5683

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

1, 5683

Least Common Multiple of 5682 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 5682 and 5683, than apply into the LCM equation.

GCF(5682,5683) = 1
LCM(5682,5683) = ( 5682 × 5683) / 1
LCM(5682,5683) = 32290806 / 1
LCM(5682,5683) = 32290806

Properties of LCM 5682 and 5683

(i) The LCM of 5683 and 5682 is associative

LCM of 5682 and 5683 = LCM of 5683 and 5682

Related Least Common Multiples of 5682

Related Least Common Multiples of 5683

Frequently Asked Questions on LCM of 5682 and 5683

1. What is the LCM of 5682 and 5683?

Answer: LCM of 5682 and 5683 is 32290806.

2. What are the Factors of 5682?

Answer: Factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682. There are 8 integers that are factors of 5682. The greatest factor of 5682 is 5682.

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 5682 and 5683?

Answer:

Least Common Multiple of 5682 and 5683 = 32290806

Step 1: Find the prime factorization of 5682

5682 = 2 x 3 x 947

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 = 32290806 = 2 x 3 x 947 x 5683

Step 4: Therefore, the least common multiple of 5682 and 5683 is 32290806.