Least Common Multiple of 4889 and 4891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4889 and 4891 the smallest integer that is 23912099 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4891 is 23912099.

LCM(4889,4891) = 23912099

LCM of 4889 and 4891

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

LCM of:
and

Least Common Multiple of 4889 and 4891

LCM of 4889 and 4891 is 23912099

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4891. First we will calculate the prime factors of 4889 and 4891.

Prime Factorization of 4889


4889 4889
1

Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:

4889 = 48891

Prime Factorization of 4891


67 4891
73 73
1

Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:

4891 = 671×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4891.

LCM(4889,4891) = 671×731×48891
LCM(4889,4891) = 23912099

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1, 4889

Factors of 4891

List of positive integer factors of 4891 that divides 4891 without a remainder.

1, 67, 73, 4891

Least Common Multiple of 4889 and 4891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4889 and 4891, than apply into the LCM equation.

GCF(4889,4891) = 1
LCM(4889,4891) = ( 4889 × 4891) / 1
LCM(4889,4891) = 23912099 / 1
LCM(4889,4891) = 23912099

Properties of LCM 4889 and 4891

(i) The LCM of 4891 and 4889 is associative

LCM of 4889 and 4891 = LCM of 4891 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4891

Frequently Asked Questions on LCM of 4889 and 4891

1. What is the LCM of 4889 and 4891?

Answer: LCM of 4889 and 4891 is 23912099.

2. What are the Factors of 4889?

Answer: Factors of 4889 are 1, 4889. There are 2 integers that are factors of 4889. The greatest factor of 4889 is 4889.

3. What are the Factors of 4891?

Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.

4. How to Find the LCM of 4889 and 4891?

Answer:

Least Common Multiple of 4889 and 4891 = 23912099

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4891

4891 = 67 x 73

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

LCM = 23912099 = 67 x 73 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4891 is 23912099.