Least Common Multiple of 4879 and 4883
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 4883 the smallest integer that is 23824157 that is divisible by both numbers.
Least Common Multiple (LCM) of 4879 and 4883 is 23824157.
LCM(4879,4883) = 23824157
LCM of 4879 and 4883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4879 and 4883 by Prime method
- Least Common Multiple of 4879 and 4883 with GCF Formula
LCM of 4879 and 4883 is 23824157
Least common multiple can be found by multiplying the highest exponent prime factors of 4879 and 4883. First we will calculate the prime factors of 4879 and 4883.
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 4883
| 19 | 4883 |
| 257 | 257 |
| 1 |
Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:
4883 = 191×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 4879 and 4883.
LCM(4879,4883) = 71×171×191×411×2571
LCM(4879,4883) = 23824157
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 4883
List of positive integer factors of 4883 that divides 4883 without a remainder.
1, 19, 257, 4883
Least Common Multiple of 4879 and 4883 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 4883, than apply into the LCM equation.
GCF(4879,4883) = 1
LCM(4879,4883) = ( 4879 × 4883) / 1
LCM(4879,4883) = 23824157 / 1
LCM(4879,4883) = 23824157
Properties of LCM 4879 and 4883
(i) The LCM of 4883 and 4879 is associative
LCM of 4879 and 4883 = LCM of 4883 and 4879
Related Least Common Multiples of 4879
Related Least Common Multiples of 4883
Frequently Asked Questions on LCM of 4879 and 4883
1. What is the LCM of 4879 and 4883?
Answer: LCM of 4879 and 4883 is 23824157.
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 4883?
Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.
4. How to Find the LCM of 4879 and 4883?
Answer:
Least Common Multiple of 4879 and 4883 = 23824157
Step 1: Find the prime factorization of 4879
4879 = 7 x 17 x 41
Step 2: Find the prime factorization of 4883
4883 = 19 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23824157 = 7 x 17 x 19 x 41 x 257
Step 4: Therefore, the least common multiple of 4879 and 4883 is 23824157.