Least Common Multiple of 4889 and 4895

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 4895 the smallest integer that is 23931655 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4895 is 23931655.

LCM(4889,4895) = 23931655

LCM of 4889 and 4895

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

LCM of:
and

Least Common Multiple of 4889 and 4895

LCM of 4889 and 4895 is 23931655

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4895. First we will calculate the prime factors of 4889 and 4895.

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 4895


5 4895
11 979
89 89
1

Prime factors of 4895 are 5, 11,89. Prime factorization of 4895 in exponential form is:

4895 = 51×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4895.

LCM(4889,4895) = 51×111×891×48891
LCM(4889,4895) = 23931655

Factors of 4889

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

1, 4889

Factors of 4895

List of positive integer factors of 4895 that divides 4895 without a remainder.

1, 5, 11, 55, 89, 445, 979, 4895

Least Common Multiple of 4889 and 4895 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 4895, than apply into the LCM equation.

GCF(4889,4895) = 1
LCM(4889,4895) = ( 4889 × 4895) / 1
LCM(4889,4895) = 23931655 / 1
LCM(4889,4895) = 23931655

Properties of LCM 4889 and 4895

(i) The LCM of 4895 and 4889 is associative

LCM of 4889 and 4895 = LCM of 4895 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4895

Frequently Asked Questions on LCM of 4889 and 4895

1. What is the LCM of 4889 and 4895?

Answer: LCM of 4889 and 4895 is 23931655.

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 4895?

Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.

4. How to Find the LCM of 4889 and 4895?

Answer:

Least Common Multiple of 4889 and 4895 = 23931655

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4895

4895 = 5 x 11 x 89

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

LCM = 23931655 = 5 x 11 x 89 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4895 is 23931655.