Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4877 and 4885 the smallest integer that is 23824145 that is divisible by both numbers.
Least Common Multiple (LCM) of 4877 and 4885 is 23824145.
LCM(4877,4885) = 23824145
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 4877 and 4885. First we will calculate the prime factors of 4877 and 4885.
Prime Factorization of 4877
4877 | 4877 |
1 |
Prime factors of 4877 are 4877. Prime factorization of 4877 in exponential form is:
4877 = 48771
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 4877 and 4885.
LCM(4877,4885) = 51×9771×48771
LCM(4877,4885) = 23824145
Factors of 4877
List of positive integer factors of 4877 that divides 4877 without a remainder.
1, 4877
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 4877 and 4885, than apply into the LCM equation.
GCF(4877,4885) = 1
LCM(4877,4885) = ( 4877 × 4885) / 1
LCM(4877,4885) = 23824145 / 1
LCM(4877,4885) = 23824145
(i) The LCM of 4885 and 4877 is associative
LCM of 4877 and 4885 = LCM of 4885 and 4877
1. What is the LCM of 4877 and 4885?
Answer: LCM of 4877 and 4885 is 23824145.
2. What are the Factors of 4877?
Answer: Factors of 4877 are 1, 4877. There are 2 integers that are factors of 4877. The greatest factor of 4877 is 4877.
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 4877 and 4885?
Answer:
Least Common Multiple of 4877 and 4885 = 23824145
Step 1: Find the prime factorization of 4877
4877 = 4877
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 = 23824145 = 5 x 977 x 4877
Step 4: Therefore, the least common multiple of 4877 and 4885 is 23824145.