Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4882 and 4887 the smallest integer that is 23858334 that is divisible by both numbers.
Least Common Multiple (LCM) of 4882 and 4887 is 23858334.
LCM(4882,4887) = 23858334
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 4882 and 4887. First we will calculate the prime factors of 4882 and 4887.
Prime Factorization of 4882
2 | 4882 |
2441 | 2441 |
1 |
Prime factors of 4882 are 2,2441. Prime factorization of 4882 in exponential form is:
4882 = 21×24411
Prime Factorization of 4887
3 | 4887 |
3 | 1629 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 4887 are 3,181. Prime factorization of 4887 in exponential form is:
4887 = 33×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 4882 and 4887.
LCM(4882,4887) = 21×33×1811×24411
LCM(4882,4887) = 23858334
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1, 2, 2441, 4882
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1, 3, 9, 27, 181, 543, 1629, 4887
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4882 and 4887, than apply into the LCM equation.
GCF(4882,4887) = 1
LCM(4882,4887) = ( 4882 × 4887) / 1
LCM(4882,4887) = 23858334 / 1
LCM(4882,4887) = 23858334
(i) The LCM of 4887 and 4882 is associative
LCM of 4882 and 4887 = LCM of 4887 and 4882
1. What is the LCM of 4882 and 4887?
Answer: LCM of 4882 and 4887 is 23858334.
2. What are the Factors of 4882?
Answer: Factors of 4882 are 1, 2, 2441, 4882. There are 4 integers that are factors of 4882. The greatest factor of 4882 is 4882.
3. What are the Factors of 4887?
Answer: Factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887. There are 8 integers that are factors of 4887. The greatest factor of 4887 is 4887.
4. How to Find the LCM of 4882 and 4887?
Answer:
Least Common Multiple of 4882 and 4887 = 23858334
Step 1: Find the prime factorization of 4882
4882 = 2 x 2441
Step 2: Find the prime factorization of 4887
4887 = 3 x 3 x 3 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23858334 = 2 x 3 x 3 x 3 x 181 x 2441
Step 4: Therefore, the least common multiple of 4882 and 4887 is 23858334.