Least Common Multiple of 4841 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 4841 and 4845 the smallest integer that is 23454645 that is divisible by both numbers.
Least Common Multiple (LCM) of 4841 and 4845 is 23454645.
LCM(4841,4845) = 23454645
LCM of 4841 and 4845
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4841 and 4845 by Prime method
- Least Common Multiple of 4841 and 4845 with GCF Formula
LCM of 4841 and 4845 is 23454645
Least common multiple can be found by multiplying the highest exponent prime factors of 4841 and 4845. First we will calculate the prime factors of 4841 and 4845.
Prime Factorization of 4841
| 47 | 4841 |
| 103 | 103 |
| 1 |
Prime factors of 4841 are 47,103. Prime factorization of 4841 in exponential form is:
4841 = 471×1031
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 4841 and 4845.
LCM(4841,4845) = 31×51×171×191×471×1031
LCM(4841,4845) = 23454645
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
1, 47, 103, 4841
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 4841 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 4841 and 4845, than apply into the LCM equation.
GCF(4841,4845) = 1
LCM(4841,4845) = ( 4841 × 4845) / 1
LCM(4841,4845) = 23454645 / 1
LCM(4841,4845) = 23454645
Properties of LCM 4841 and 4845
(i) The LCM of 4845 and 4841 is associative
LCM of 4841 and 4845 = LCM of 4845 and 4841
Related Least Common Multiples of 4841
Related Least Common Multiples of 4845
Frequently Asked Questions on LCM of 4841 and 4845
1. What is the LCM of 4841 and 4845?
Answer: LCM of 4841 and 4845 is 23454645.
2. What are the Factors of 4841?
Answer: Factors of 4841 are 1, 47, 103, 4841. There are 4 integers that are factors of 4841. The greatest factor of 4841 is 4841.
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 4841 and 4845?
Answer:
Least Common Multiple of 4841 and 4845 = 23454645
Step 1: Find the prime factorization of 4841
4841 = 47 x 103
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 = 23454645 = 3 x 5 x 17 x 19 x 47 x 103
Step 4: Therefore, the least common multiple of 4841 and 4845 is 23454645.
