Least Common Multiple of 4879 and 4887
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4879 and 4887 the smallest integer that is 23843673 that is divisible by both numbers.
Least Common Multiple (LCM) of 4879 and 4887 is 23843673.
LCM(4879,4887) = 23843673
LCM of 4879 and 4887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4879 and 4887 by Prime method
- Least Common Multiple of 4879 and 4887 with GCF Formula
LCM of 4879 and 4887 is 23843673
Least common multiple can be found by multiplying the highest exponent prime factors of 4879 and 4887. First we will calculate the prime factors of 4879 and 4887.
Prime Factorization of 4879
| 7 | 4879 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 4879 are 7, 17,41. Prime factorization of 4879 in exponential form is:
4879 = 71×171×411
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 4879 and 4887.
LCM(4879,4887) = 33×71×171×411×1811
LCM(4879,4887) = 23843673
Factors of 4879
List of positive integer factors of 4879 that divides 4879 without a remainder.
1, 7, 17, 41, 119, 287, 697, 4879
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1, 3, 9, 27, 181, 543, 1629, 4887
Least Common Multiple of 4879 and 4887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4879 and 4887, than apply into the LCM equation.
GCF(4879,4887) = 1
LCM(4879,4887) = ( 4879 × 4887) / 1
LCM(4879,4887) = 23843673 / 1
LCM(4879,4887) = 23843673
Properties of LCM 4879 and 4887
(i) The LCM of 4887 and 4879 is associative
LCM of 4879 and 4887 = LCM of 4887 and 4879
Related Least Common Multiples of 4879
Related Least Common Multiples of 4887
Frequently Asked Questions on LCM of 4879 and 4887
1. What is the LCM of 4879 and 4887?
Answer: LCM of 4879 and 4887 is 23843673.
2. What are the Factors of 4879?
Answer: Factors of 4879 are 1, 7, 17, 41, 119, 287, 697, 4879. There are 8 integers that are factors of 4879. The greatest factor of 4879 is 4879.
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 4879 and 4887?
Answer:
Least Common Multiple of 4879 and 4887 = 23843673
Step 1: Find the prime factorization of 4879
4879 = 7 x 17 x 41
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 = 23843673 = 3 x 3 x 3 x 7 x 17 x 41 x 181
Step 4: Therefore, the least common multiple of 4879 and 4887 is 23843673.