Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4885 and 4889 the smallest integer that is 23882765 that is divisible by both numbers.
Least Common Multiple (LCM) of 4885 and 4889 is 23882765.
LCM(4885,4889) = 23882765
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4885 and 4889. First we will calculate the prime factors of 4885 and 4889.
Prime Factorization of 4885
5 | 4885 |
977 | 977 |
1 |
Prime factors of 4885 are 5,977. Prime factorization of 4885 in exponential form is:
4885 = 51×9771
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 4885 and 4889.
LCM(4885,4889) = 51×9771×48891
LCM(4885,4889) = 23882765
Factors of 4885
List of positive integer factors of 4885 that divides 4885 without a remainder.
1, 5, 977, 4885
Factors of 4889
List of positive integer factors of 4889 that divides 4889 without a remainder.
1, 4889
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4885 and 4889, than apply into the LCM equation.
GCF(4885,4889) = 1
LCM(4885,4889) = ( 4885 × 4889) / 1
LCM(4885,4889) = 23882765 / 1
LCM(4885,4889) = 23882765
(i) The LCM of 4889 and 4885 is associative
LCM of 4885 and 4889 = LCM of 4889 and 4885
1. What is the LCM of 4885 and 4889?
Answer: LCM of 4885 and 4889 is 23882765.
2. What are the Factors of 4885?
Answer: Factors of 4885 are 1, 5, 977, 4885. There are 4 integers that are factors of 4885. The greatest factor of 4885 is 4885.
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 4885 and 4889?
Answer:
Least Common Multiple of 4885 and 4889 = 23882765
Step 1: Find the prime factorization of 4885
4885 = 5 x 977
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 = 23882765 = 5 x 977 x 4889
Step 4: Therefore, the least common multiple of 4885 and 4889 is 23882765.