Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4878 and 4885 the smallest integer that is 23829030 that is divisible by both numbers.
Least Common Multiple (LCM) of 4878 and 4885 is 23829030.
LCM(4878,4885) = 23829030
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 4878 and 4885. First we will calculate the prime factors of 4878 and 4885.
Prime Factorization of 4878
2 | 4878 |
3 | 2439 |
3 | 813 |
271 | 271 |
1 |
Prime factors of 4878 are 2, 3,271. Prime factorization of 4878 in exponential form is:
4878 = 21×32×2711
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 4878 and 4885.
LCM(4878,4885) = 21×32×51×2711×9771
LCM(4878,4885) = 23829030
Factors of 4878
List of positive integer factors of 4878 that divides 4878 without a remainder.
1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878
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 4878 and 4885, than apply into the LCM equation.
GCF(4878,4885) = 1
LCM(4878,4885) = ( 4878 × 4885) / 1
LCM(4878,4885) = 23829030 / 1
LCM(4878,4885) = 23829030
(i) The LCM of 4885 and 4878 is associative
LCM of 4878 and 4885 = LCM of 4885 and 4878
1. What is the LCM of 4878 and 4885?
Answer: LCM of 4878 and 4885 is 23829030.
2. What are the Factors of 4878?
Answer: Factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878. There are 12 integers that are factors of 4878. The greatest factor of 4878 is 4878.
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 4878 and 4885?
Answer:
Least Common Multiple of 4878 and 4885 = 23829030
Step 1: Find the prime factorization of 4878
4878 = 2 x 3 x 3 x 271
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 = 23829030 = 2 x 3 x 3 x 5 x 271 x 977
Step 4: Therefore, the least common multiple of 4878 and 4885 is 23829030.