Least Common Multiple of 5883 and 5889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5883 and 5889 the smallest integer that is 11548329 that is divisible by both numbers.

Least Common Multiple (LCM) of 5883 and 5889 is 11548329.

LCM(5883,5889) = 11548329

LCM of 5883 and 5889

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

LCM of:
and

Least Common Multiple of 5883 and 5889

LCM of 5883 and 5889 is 11548329

Least common multiple can be found by multiplying the highest exponent prime factors of 5883 and 5889. First we will calculate the prime factors of 5883 and 5889.

Prime Factorization of 5883


3 5883
37 1961
53 53
1

Prime factors of 5883 are 3, 37,53. Prime factorization of 5883 in exponential form is:

5883 = 31×371×531

Prime Factorization of 5889


3 5889
13 1963
151 151
1

Prime factors of 5889 are 3, 13,151. Prime factorization of 5889 in exponential form is:

5889 = 31×131×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5883 and 5889.

LCM(5883,5889) = 31×131×371×531×1511
LCM(5883,5889) = 11548329

Factors of 5883

List of positive integer factors of 5883 that divides 5883 without a remainder.

1, 3, 37, 53, 111, 159, 1961, 5883

Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1, 3, 13, 39, 151, 453, 1963, 5889

Least Common Multiple of 5883 and 5889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5883 and 5889, than apply into the LCM equation.

GCF(5883,5889) = 3
LCM(5883,5889) = ( 5883 × 5889) / 3
LCM(5883,5889) = 34644987 / 3
LCM(5883,5889) = 11548329

Properties of LCM 5883 and 5889

(i) The LCM of 5889 and 5883 is associative

LCM of 5883 and 5889 = LCM of 5889 and 5883

Related Least Common Multiples of 5883

Related Least Common Multiples of 5889

Frequently Asked Questions on LCM of 5883 and 5889

1. What is the LCM of 5883 and 5889?

Answer: LCM of 5883 and 5889 is 11548329.

2. What are the Factors of 5883?

Answer: Factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883. There are 8 integers that are factors of 5883. The greatest factor of 5883 is 5883.

3. What are the Factors of 5889?

Answer: Factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889. There are 8 integers that are factors of 5889. The greatest factor of 5889 is 5889.

4. How to Find the LCM of 5883 and 5889?

Answer:

Least Common Multiple of 5883 and 5889 = 11548329

Step 1: Find the prime factorization of 5883

5883 = 3 x 37 x 53

Step 2: Find the prime factorization of 5889

5889 = 3 x 13 x 151

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

LCM = 11548329 = 3 x 13 x 37 x 53 x 151

Step 4: Therefore, the least common multiple of 5883 and 5889 is 11548329.