Least Common Multiple of 4843 and 4850
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4843 and 4850 the smallest integer that is 23488550 that is divisible by both numbers.
Least Common Multiple (LCM) of 4843 and 4850 is 23488550.
LCM(4843,4850) = 23488550
LCM of 4843 and 4850
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4843 and 4850 by Prime method
- Least Common Multiple of 4843 and 4850 with GCF Formula
LCM of 4843 and 4850 is 23488550
Least common multiple can be found by multiplying the highest exponent prime factors of 4843 and 4850. First we will calculate the prime factors of 4843 and 4850.
Prime Factorization of 4843
| 29 | 4843 |
| 167 | 167 |
| 1 |
Prime factors of 4843 are 29,167. Prime factorization of 4843 in exponential form is:
4843 = 291×1671
Prime Factorization of 4850
| 2 | 4850 |
| 5 | 2425 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 4850 are 2, 5,97. Prime factorization of 4850 in exponential form is:
4850 = 21×52×971
Now multiplying the highest exponent prime factors to calculate the LCM of 4843 and 4850.
LCM(4843,4850) = 21×52×291×971×1671
LCM(4843,4850) = 23488550
Factors of 4843
List of positive integer factors of 4843 that divides 4843 without a remainder.
1, 29, 167, 4843
Factors of 4850
List of positive integer factors of 4850 that divides 4850 without a remainder.
1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
Least Common Multiple of 4843 and 4850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4843 and 4850, than apply into the LCM equation.
GCF(4843,4850) = 1
LCM(4843,4850) = ( 4843 × 4850) / 1
LCM(4843,4850) = 23488550 / 1
LCM(4843,4850) = 23488550
Properties of LCM 4843 and 4850
(i) The LCM of 4850 and 4843 is associative
LCM of 4843 and 4850 = LCM of 4850 and 4843
Related Least Common Multiples of 4843
Related Least Common Multiples of 4850
Frequently Asked Questions on LCM of 4843 and 4850
1. What is the LCM of 4843 and 4850?
Answer: LCM of 4843 and 4850 is 23488550.
2. What are the Factors of 4843?
Answer: Factors of 4843 are 1, 29, 167, 4843. There are 4 integers that are factors of 4843. The greatest factor of 4843 is 4843.
3. What are the Factors of 4850?
Answer: Factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850. There are 12 integers that are factors of 4850. The greatest factor of 4850 is 4850.
4. How to Find the LCM of 4843 and 4850?
Answer:
Least Common Multiple of 4843 and 4850 = 23488550
Step 1: Find the prime factorization of 4843
4843 = 29 x 167
Step 2: Find the prime factorization of 4850
4850 = 2 x 5 x 5 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23488550 = 2 x 5 x 5 x 29 x 97 x 167
Step 4: Therefore, the least common multiple of 4843 and 4850 is 23488550.