Least Common Multiple of 4823 and 4829
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 4829 the smallest integer that is 23290267 that is divisible by both numbers.
Least Common Multiple (LCM) of 4823 and 4829 is 23290267.
LCM(4823,4829) = 23290267
LCM of 4823 and 4829
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4823 and 4829 by Prime method
- Least Common Multiple of 4823 and 4829 with GCF Formula
LCM of 4823 and 4829 is 23290267
Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4829. First we will calculate the prime factors of 4823 and 4829.
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 4829
| 11 | 4829 |
| 439 | 439 |
| 1 |
Prime factors of 4829 are 11,439. Prime factorization of 4829 in exponential form is:
4829 = 111×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4829.
LCM(4823,4829) = 71×111×131×531×4391
LCM(4823,4829) = 23290267
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 4829
List of positive integer factors of 4829 that divides 4829 without a remainder.
1, 11, 439, 4829
Least Common Multiple of 4823 and 4829 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 4829, than apply into the LCM equation.
GCF(4823,4829) = 1
LCM(4823,4829) = ( 4823 × 4829) / 1
LCM(4823,4829) = 23290267 / 1
LCM(4823,4829) = 23290267
Properties of LCM 4823 and 4829
(i) The LCM of 4829 and 4823 is associative
LCM of 4823 and 4829 = LCM of 4829 and 4823
Related Least Common Multiples of 4823
Related Least Common Multiples of 4829
Frequently Asked Questions on LCM of 4823 and 4829
1. What is the LCM of 4823 and 4829?
Answer: LCM of 4823 and 4829 is 23290267.
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 4829?
Answer: Factors of 4829 are 1, 11, 439, 4829. There are 4 integers that are factors of 4829. The greatest factor of 4829 is 4829.
4. How to Find the LCM of 4823 and 4829?
Answer:
Least Common Multiple of 4823 and 4829 = 23290267
Step 1: Find the prime factorization of 4823
4823 = 7 x 13 x 53
Step 2: Find the prime factorization of 4829
4829 = 11 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23290267 = 7 x 11 x 13 x 53 x 439
Step 4: Therefore, the least common multiple of 4823 and 4829 is 23290267.