Least Common Multiple of 4875 and 4879
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4875 and 4879 the smallest integer that is 23785125 that is divisible by both numbers.
Least Common Multiple (LCM) of 4875 and 4879 is 23785125.
LCM(4875,4879) = 23785125
LCM of 4875 and 4879
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4875 and 4879 by Prime method
- Least Common Multiple of 4875 and 4879 with GCF Formula
LCM of 4875 and 4879 is 23785125
Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4879. First we will calculate the prime factors of 4875 and 4879.
Prime Factorization of 4875
| 3 | 4875 |
| 5 | 1625 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 4875 are 3, 5,13. Prime factorization of 4875 in exponential form is:
4875 = 31×53×131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4879.
LCM(4875,4879) = 31×53×71×131×171×411
LCM(4875,4879) = 23785125
Factors of 4875
List of positive integer factors of 4875 that divides 4875 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
Factors of 4879
List of positive integer factors of 4879 that divides 4879 without a remainder.
1, 7, 17, 41, 119, 287, 697, 4879
Least Common Multiple of 4875 and 4879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4879, than apply into the LCM equation.
GCF(4875,4879) = 1
LCM(4875,4879) = ( 4875 × 4879) / 1
LCM(4875,4879) = 23785125 / 1
LCM(4875,4879) = 23785125
Properties of LCM 4875 and 4879
(i) The LCM of 4879 and 4875 is associative
LCM of 4875 and 4879 = LCM of 4879 and 4875
Related Least Common Multiples of 4875
Related Least Common Multiples of 4879
Frequently Asked Questions on LCM of 4875 and 4879
1. What is the LCM of 4875 and 4879?
Answer: LCM of 4875 and 4879 is 23785125.
2. What are the Factors of 4875?
Answer: Factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875. There are 16 integers that are factors of 4875. The greatest factor of 4875 is 4875.
3. 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.
4. How to Find the LCM of 4875 and 4879?
Answer:
Least Common Multiple of 4875 and 4879 = 23785125
Step 1: Find the prime factorization of 4875
4875 = 3 x 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 4879
4879 = 7 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23785125 = 3 x 5 x 5 x 5 x 7 x 13 x 17 x 41
Step 4: Therefore, the least common multiple of 4875 and 4879 is 23785125.