Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4881 and 4885 the smallest integer that is 23843685 that is divisible by both numbers.
Least Common Multiple (LCM) of 4881 and 4885 is 23843685.
LCM(4881,4885) = 23843685
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 4881 and 4885. First we will calculate the prime factors of 4881 and 4885.
Prime Factorization of 4881
3 | 4881 |
1627 | 1627 |
1 |
Prime factors of 4881 are 3,1627. Prime factorization of 4881 in exponential form is:
4881 = 31×16271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4881 and 4885.
LCM(4881,4885) = 31×51×9771×16271
LCM(4881,4885) = 23843685
Factors of 4881
List of positive integer factors of 4881 that divides 4881 without a remainder.
1, 3, 1627, 4881
Factors of 4885
List of positive integer factors of 4885 that divides 4885 without a remainder.
1, 5, 977, 4885
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4881 and 4885, than apply into the LCM equation.
GCF(4881,4885) = 1
LCM(4881,4885) = ( 4881 × 4885) / 1
LCM(4881,4885) = 23843685 / 1
LCM(4881,4885) = 23843685
(i) The LCM of 4885 and 4881 is associative
LCM of 4881 and 4885 = LCM of 4885 and 4881
1. What is the LCM of 4881 and 4885?
Answer: LCM of 4881 and 4885 is 23843685.
2. What are the Factors of 4881?
Answer: Factors of 4881 are 1, 3, 1627, 4881. There are 4 integers that are factors of 4881. The greatest factor of 4881 is 4881.
3. 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.
4. How to Find the LCM of 4881 and 4885?
Answer:
Least Common Multiple of 4881 and 4885 = 23843685
Step 1: Find the prime factorization of 4881
4881 = 3 x 1627
Step 2: Find the prime factorization of 4885
4885 = 5 x 977
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23843685 = 3 x 5 x 977 x 1627
Step 4: Therefore, the least common multiple of 4881 and 4885 is 23843685.