Least Common Multiple of 5889 and 5895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5889 and 5895 the smallest integer that is 11571885 that is divisible by both numbers.

Least Common Multiple (LCM) of 5889 and 5895 is 11571885.

LCM(5889,5895) = 11571885

LCM of 5889 and 5895

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

LCM of:
and

Least Common Multiple of 5889 and 5895

LCM of 5889 and 5895 is 11571885

Least common multiple can be found by multiplying the highest exponent prime factors of 5889 and 5895. First we will calculate the prime factors of 5889 and 5895.

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

Prime Factorization of 5895


3 5895
3 1965
5 655
131 131
1

Prime factors of 5895 are 3, 5,131. Prime factorization of 5895 in exponential form is:

5895 = 32×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5889 and 5895.

LCM(5889,5895) = 32×51×131×1311×1511
LCM(5889,5895) = 11571885

Factors of 5889

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

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

Factors of 5895

List of positive integer factors of 5895 that divides 5895 without a remainder.

1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895

Least Common Multiple of 5889 and 5895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5889 and 5895, than apply into the LCM equation.

GCF(5889,5895) = 3
LCM(5889,5895) = ( 5889 × 5895) / 3
LCM(5889,5895) = 34715655 / 3
LCM(5889,5895) = 11571885

Properties of LCM 5889 and 5895

(i) The LCM of 5895 and 5889 is associative

LCM of 5889 and 5895 = LCM of 5895 and 5889

Related Least Common Multiples of 5889

Related Least Common Multiples of 5895

Frequently Asked Questions on LCM of 5889 and 5895

1. What is the LCM of 5889 and 5895?

Answer: LCM of 5889 and 5895 is 11571885.

2. 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.

3. What are the Factors of 5895?

Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.

4. How to Find the LCM of 5889 and 5895?

Answer:

Least Common Multiple of 5889 and 5895 = 11571885

Step 1: Find the prime factorization of 5889

5889 = 3 x 13 x 151

Step 2: Find the prime factorization of 5895

5895 = 3 x 3 x 5 x 131

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

LCM = 11571885 = 3 x 3 x 5 x 13 x 131 x 151

Step 4: Therefore, the least common multiple of 5889 and 5895 is 11571885.