Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5843 and 5845 the smallest integer that is 34152335 that is divisible by both numbers.
Least Common Multiple (LCM) of 5843 and 5845 is 34152335.
LCM(5843,5845) = 34152335
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 5843 and 5845. First we will calculate the prime factors of 5843 and 5845.
Prime Factorization of 5843
5843 | 5843 |
1 |
Prime factors of 5843 are 5843. Prime factorization of 5843 in exponential form is:
5843 = 58431
Prime Factorization of 5845
5 | 5845 |
7 | 1169 |
167 | 167 |
1 |
Prime factors of 5845 are 5, 7,167. Prime factorization of 5845 in exponential form is:
5845 = 51×71×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 5843 and 5845.
LCM(5843,5845) = 51×71×1671×58431
LCM(5843,5845) = 34152335
Factors of 5843
List of positive integer factors of 5843 that divides 5843 without a remainder.
1, 5843
Factors of 5845
List of positive integer factors of 5845 that divides 5845 without a remainder.
1, 5, 7, 35, 167, 835, 1169, 5845
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5843 and 5845, than apply into the LCM equation.
GCF(5843,5845) = 1
LCM(5843,5845) = ( 5843 × 5845) / 1
LCM(5843,5845) = 34152335 / 1
LCM(5843,5845) = 34152335
(i) The LCM of 5845 and 5843 is associative
LCM of 5843 and 5845 = LCM of 5845 and 5843
1. What is the LCM of 5843 and 5845?
Answer: LCM of 5843 and 5845 is 34152335.
2. What are the Factors of 5843?
Answer: Factors of 5843 are 1, 5843. There are 2 integers that are factors of 5843. The greatest factor of 5843 is 5843.
3. What are the Factors of 5845?
Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.
4. How to Find the LCM of 5843 and 5845?
Answer:
Least Common Multiple of 5843 and 5845 = 34152335
Step 1: Find the prime factorization of 5843
5843 = 5843
Step 2: Find the prime factorization of 5845
5845 = 5 x 7 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 = 34152335 = 5 x 7 x 167 x 5843
Step 4: Therefore, the least common multiple of 5843 and 5845 is 34152335.