Least Common Multiple of 4887 and 4891
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4887 and 4891 the smallest integer that is 23902317 that is divisible by both numbers.
Least Common Multiple (LCM) of 4887 and 4891 is 23902317.
LCM(4887,4891) = 23902317
LCM of 4887 and 4891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4887 and 4891 by Prime method
- Least Common Multiple of 4887 and 4891 with GCF Formula
LCM of 4887 and 4891 is 23902317
Least common multiple can be found by multiplying the highest exponent prime factors of 4887 and 4891. First we will calculate the prime factors of 4887 and 4891.
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
Prime Factorization of 4891
| 67 | 4891 |
| 73 | 73 |
| 1 |
Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:
4891 = 671×731
Now multiplying the highest exponent prime factors to calculate the LCM of 4887 and 4891.
LCM(4887,4891) = 33×671×731×1811
LCM(4887,4891) = 23902317
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1, 3, 9, 27, 181, 543, 1629, 4887
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1, 67, 73, 4891
Least Common Multiple of 4887 and 4891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4887 and 4891, than apply into the LCM equation.
GCF(4887,4891) = 1
LCM(4887,4891) = ( 4887 × 4891) / 1
LCM(4887,4891) = 23902317 / 1
LCM(4887,4891) = 23902317
Properties of LCM 4887 and 4891
(i) The LCM of 4891 and 4887 is associative
LCM of 4887 and 4891 = LCM of 4891 and 4887
Related Least Common Multiples of 4887
Related Least Common Multiples of 4891
Frequently Asked Questions on LCM of 4887 and 4891
1. What is the LCM of 4887 and 4891?
Answer: LCM of 4887 and 4891 is 23902317.
2. 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.
3. What are the Factors of 4891?
Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.
4. How to Find the LCM of 4887 and 4891?
Answer:
Least Common Multiple of 4887 and 4891 = 23902317
Step 1: Find the prime factorization of 4887
4887 = 3 x 3 x 3 x 181
Step 2: Find the prime factorization of 4891
4891 = 67 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23902317 = 3 x 3 x 3 x 67 x 73 x 181
Step 4: Therefore, the least common multiple of 4887 and 4891 is 23902317.