Least Common Multiple of 4838 and 4845
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4838 and 4845 the smallest integer that is 23440110 that is divisible by both numbers.
Least Common Multiple (LCM) of 4838 and 4845 is 23440110.
LCM(4838,4845) = 23440110
LCM of 4838 and 4845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4838 and 4845 by Prime method
- Least Common Multiple of 4838 and 4845 with GCF Formula
LCM of 4838 and 4845 is 23440110
Least common multiple can be found by multiplying the highest exponent prime factors of 4838 and 4845. First we will calculate the prime factors of 4838 and 4845.
Prime Factorization of 4838
| 2 | 4838 |
| 41 | 2419 |
| 59 | 59 |
| 1 |
Prime factors of 4838 are 2, 41,59. Prime factorization of 4838 in exponential form is:
4838 = 21×411×591
Prime Factorization of 4845
| 3 | 4845 |
| 5 | 1615 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 4845 are 3, 5, 17,19. Prime factorization of 4845 in exponential form is:
4845 = 31×51×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4838 and 4845.
LCM(4838,4845) = 21×31×51×171×191×411×591
LCM(4838,4845) = 23440110
Factors of 4838
List of positive integer factors of 4838 that divides 4838 without a remainder.
1, 2, 41, 59, 82, 118, 2419, 4838
Factors of 4845
List of positive integer factors of 4845 that divides 4845 without a remainder.
1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
Least Common Multiple of 4838 and 4845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4838 and 4845, than apply into the LCM equation.
GCF(4838,4845) = 1
LCM(4838,4845) = ( 4838 × 4845) / 1
LCM(4838,4845) = 23440110 / 1
LCM(4838,4845) = 23440110
Properties of LCM 4838 and 4845
(i) The LCM of 4845 and 4838 is associative
LCM of 4838 and 4845 = LCM of 4845 and 4838
Related Least Common Multiples of 4838
Related Least Common Multiples of 4845
Frequently Asked Questions on LCM of 4838 and 4845
1. What is the LCM of 4838 and 4845?
Answer: LCM of 4838 and 4845 is 23440110.
2. What are the Factors of 4838?
Answer: Factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838. There are 8 integers that are factors of 4838. The greatest factor of 4838 is 4838.
3. What are the Factors of 4845?
Answer: Factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845. There are 16 integers that are factors of 4845. The greatest factor of 4845 is 4845.
4. How to Find the LCM of 4838 and 4845?
Answer:
Least Common Multiple of 4838 and 4845 = 23440110
Step 1: Find the prime factorization of 4838
4838 = 2 x 41 x 59
Step 2: Find the prime factorization of 4845
4845 = 3 x 5 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23440110 = 2 x 3 x 5 x 17 x 19 x 41 x 59
Step 4: Therefore, the least common multiple of 4838 and 4845 is 23440110.