Least Common Multiple of 4889 and 4893

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 4893 the smallest integer that is 23921877 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4893 is 23921877.

LCM(4889,4893) = 23921877

LCM of 4889 and 4893

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

LCM of:
and

Least Common Multiple of 4889 and 4893

LCM of 4889 and 4893 is 23921877

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4893. First we will calculate the prime factors of 4889 and 4893.

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 4893


3 4893
7 1631
233 233
1

Prime factors of 4893 are 3, 7,233. Prime factorization of 4893 in exponential form is:

4893 = 31×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4893.

LCM(4889,4893) = 31×71×2331×48891
LCM(4889,4893) = 23921877

Factors of 4889

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

1, 4889

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1, 3, 7, 21, 233, 699, 1631, 4893

Least Common Multiple of 4889 and 4893 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 4893, than apply into the LCM equation.

GCF(4889,4893) = 1
LCM(4889,4893) = ( 4889 × 4893) / 1
LCM(4889,4893) = 23921877 / 1
LCM(4889,4893) = 23921877

Properties of LCM 4889 and 4893

(i) The LCM of 4893 and 4889 is associative

LCM of 4889 and 4893 = LCM of 4893 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4893

Frequently Asked Questions on LCM of 4889 and 4893

1. What is the LCM of 4889 and 4893?

Answer: LCM of 4889 and 4893 is 23921877.

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 4893?

Answer: Factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893. There are 8 integers that are factors of 4893. The greatest factor of 4893 is 4893.

4. How to Find the LCM of 4889 and 4893?

Answer:

Least Common Multiple of 4889 and 4893 = 23921877

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4893

4893 = 3 x 7 x 233

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

LCM = 23921877 = 3 x 7 x 233 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4893 is 23921877.