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 4843 the smallest integer that is 23444963 that is divisible by both numbers.
Least Common Multiple (LCM) of 4841 and 4843 is 23444963.
LCM(4841,4843) = 23444963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4841 and 4843. First we will calculate the prime factors of 4841 and 4843.
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 4843
29 | 4843 |
167 | 167 |
1 |
Prime factors of 4843 are 29,167. Prime factorization of 4843 in exponential form is:
4843 = 291×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 4841 and 4843.
LCM(4841,4843) = 291×471×1031×1671
LCM(4841,4843) = 23444963
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
1, 47, 103, 4841
Factors of 4843
List of positive integer factors of 4843 that divides 4843 without a remainder.
1, 29, 167, 4843
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4841 and 4843, than apply into the LCM equation.
GCF(4841,4843) = 1
LCM(4841,4843) = ( 4841 × 4843) / 1
LCM(4841,4843) = 23444963 / 1
LCM(4841,4843) = 23444963
(i) The LCM of 4843 and 4841 is associative
LCM of 4841 and 4843 = LCM of 4843 and 4841
1. What is the LCM of 4841 and 4843?
Answer: LCM of 4841 and 4843 is 23444963.
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 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.
4. How to Find the LCM of 4841 and 4843?
Answer:
Least Common Multiple of 4841 and 4843 = 23444963
Step 1: Find the prime factorization of 4841
4841 = 47 x 103
Step 2: Find the prime factorization of 4843
4843 = 29 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23444963 = 29 x 47 x 103 x 167
Step 4: Therefore, the least common multiple of 4841 and 4843 is 23444963.