Least Common Multiple of 4871 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 4871 and 4879 the smallest integer that is 23765609 that is divisible by both numbers.
Least Common Multiple (LCM) of 4871 and 4879 is 23765609.
LCM(4871,4879) = 23765609
LCM of 4871 and 4879
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4871 and 4879 by Prime method
- Least Common Multiple of 4871 and 4879 with GCF Formula
LCM of 4871 and 4879 is 23765609
Least common multiple can be found by multiplying the highest exponent prime factors of 4871 and 4879. First we will calculate the prime factors of 4871 and 4879.
Prime Factorization of 4871
| 4871 | 4871 |
| 1 |
Prime factors of 4871 are 4871. Prime factorization of 4871 in exponential form is:
4871 = 48711
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 4871 and 4879.
LCM(4871,4879) = 71×171×411×48711
LCM(4871,4879) = 23765609
Factors of 4871
List of positive integer factors of 4871 that divides 4871 without a remainder.
1, 4871
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 4871 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 4871 and 4879, than apply into the LCM equation.
GCF(4871,4879) = 1
LCM(4871,4879) = ( 4871 × 4879) / 1
LCM(4871,4879) = 23765609 / 1
LCM(4871,4879) = 23765609
Properties of LCM 4871 and 4879
(i) The LCM of 4879 and 4871 is associative
LCM of 4871 and 4879 = LCM of 4879 and 4871
Related Least Common Multiples of 4871
Related Least Common Multiples of 4879
Frequently Asked Questions on LCM of 4871 and 4879
1. What is the LCM of 4871 and 4879?
Answer: LCM of 4871 and 4879 is 23765609.
2. What are the Factors of 4871?
Answer: Factors of 4871 are 1, 4871. There are 2 integers that are factors of 4871. The greatest factor of 4871 is 4871.
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 4871 and 4879?
Answer:
Least Common Multiple of 4871 and 4879 = 23765609
Step 1: Find the prime factorization of 4871
4871 = 4871
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 = 23765609 = 7 x 17 x 41 x 4871
Step 4: Therefore, the least common multiple of 4871 and 4879 is 23765609.