Least Common Multiple of 4884 and 4889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4884 and 4889 the smallest integer that is 23877876 that is divisible by both numbers.

Least Common Multiple (LCM) of 4884 and 4889 is 23877876.

LCM(4884,4889) = 23877876

LCM of 4884 and 4889

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

LCM of:
and

Least Common Multiple of 4884 and 4889

LCM of 4884 and 4889 is 23877876

Least common multiple can be found by multiplying the highest exponent prime factors of 4884 and 4889. First we will calculate the prime factors of 4884 and 4889.

Prime Factorization of 4884


2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 4884 are 2, 3, 11,37. Prime factorization of 4884 in exponential form is:

4884 = 22×31×111×371

Prime Factorization of 4889


4889 4889
1

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

4889 = 48891

Now multiplying the highest exponent prime factors to calculate the LCM of 4884 and 4889.

LCM(4884,4889) = 22×31×111×371×48891
LCM(4884,4889) = 23877876

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884

Factors of 4889

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

1, 4889

Least Common Multiple of 4884 and 4889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4884 and 4889, than apply into the LCM equation.

GCF(4884,4889) = 1
LCM(4884,4889) = ( 4884 × 4889) / 1
LCM(4884,4889) = 23877876 / 1
LCM(4884,4889) = 23877876

Properties of LCM 4884 and 4889

(i) The LCM of 4889 and 4884 is associative

LCM of 4884 and 4889 = LCM of 4889 and 4884

Related Least Common Multiples of 4884

Related Least Common Multiples of 4889

Frequently Asked Questions on LCM of 4884 and 4889

1. What is the LCM of 4884 and 4889?

Answer: LCM of 4884 and 4889 is 23877876.

2. What are the Factors of 4884?

Answer: Factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884. There are 24 integers that are factors of 4884. The greatest factor of 4884 is 4884.

3. 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.

4. How to Find the LCM of 4884 and 4889?

Answer:

Least Common Multiple of 4884 and 4889 = 23877876

Step 1: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

Step 2: Find the prime factorization of 4889

4889 = 4889

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

LCM = 23877876 = 2 x 2 x 3 x 11 x 37 x 4889

Step 4: Therefore, the least common multiple of 4884 and 4889 is 23877876.