Least Common Multiple of 4823 and 4831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4823 and 4831 the smallest integer that is 23299913 that is divisible by both numbers.
Least Common Multiple (LCM) of 4823 and 4831 is 23299913.
LCM(4823,4831) = 23299913
LCM of 4823 and 4831
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4823 and 4831 by Prime method
- Least Common Multiple of 4823 and 4831 with GCF Formula
LCM of 4823 and 4831 is 23299913
Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4831. First we will calculate the prime factors of 4823 and 4831.
Prime Factorization of 4823
| 7 | 4823 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 4823 are 7, 13,53. Prime factorization of 4823 in exponential form is:
4823 = 71×131×531
Prime Factorization of 4831
| 4831 | 4831 |
| 1 |
Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:
4831 = 48311
Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4831.
LCM(4823,4831) = 71×131×531×48311
LCM(4823,4831) = 23299913
Factors of 4823
List of positive integer factors of 4823 that divides 4823 without a remainder.
1, 7, 13, 53, 91, 371, 689, 4823
Factors of 4831
List of positive integer factors of 4831 that divides 4831 without a remainder.
1, 4831
Least Common Multiple of 4823 and 4831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4823 and 4831, than apply into the LCM equation.
GCF(4823,4831) = 1
LCM(4823,4831) = ( 4823 × 4831) / 1
LCM(4823,4831) = 23299913 / 1
LCM(4823,4831) = 23299913
Properties of LCM 4823 and 4831
(i) The LCM of 4831 and 4823 is associative
LCM of 4823 and 4831 = LCM of 4831 and 4823
Related Least Common Multiples of 4823
Related Least Common Multiples of 4831
Frequently Asked Questions on LCM of 4823 and 4831
1. What is the LCM of 4823 and 4831?
Answer: LCM of 4823 and 4831 is 23299913.
2. What are the Factors of 4823?
Answer: Factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823. There are 8 integers that are factors of 4823. The greatest factor of 4823 is 4823.
3. What are the Factors of 4831?
Answer: Factors of 4831 are 1, 4831. There are 2 integers that are factors of 4831. The greatest factor of 4831 is 4831.
4. How to Find the LCM of 4823 and 4831?
Answer:
Least Common Multiple of 4823 and 4831 = 23299913
Step 1: Find the prime factorization of 4823
4823 = 7 x 13 x 53
Step 2: Find the prime factorization of 4831
4831 = 4831
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23299913 = 7 x 13 x 53 x 4831
Step 4: Therefore, the least common multiple of 4823 and 4831 is 23299913.