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 5849 the smallest integer that is 34175707 that is divisible by both numbers.
Least Common Multiple (LCM) of 5843 and 5849 is 34175707.
LCM(5843,5849) = 34175707
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 5849. First we will calculate the prime factors of 5843 and 5849.
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 5849
5849 | 5849 |
1 |
Prime factors of 5849 are 5849. Prime factorization of 5849 in exponential form is:
5849 = 58491
Now multiplying the highest exponent prime factors to calculate the LCM of 5843 and 5849.
LCM(5843,5849) = 58431×58491
LCM(5843,5849) = 34175707
Factors of 5843
List of positive integer factors of 5843 that divides 5843 without a remainder.
1, 5843
Factors of 5849
List of positive integer factors of 5849 that divides 5849 without a remainder.
1, 5849
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5843 and 5849, than apply into the LCM equation.
GCF(5843,5849) = 1
LCM(5843,5849) = ( 5843 × 5849) / 1
LCM(5843,5849) = 34175707 / 1
LCM(5843,5849) = 34175707
(i) The LCM of 5849 and 5843 is associative
LCM of 5843 and 5849 = LCM of 5849 and 5843
1. What is the LCM of 5843 and 5849?
Answer: LCM of 5843 and 5849 is 34175707.
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 5849?
Answer: Factors of 5849 are 1, 5849. There are 2 integers that are factors of 5849. The greatest factor of 5849 is 5849.
4. How to Find the LCM of 5843 and 5849?
Answer:
Least Common Multiple of 5843 and 5849 = 34175707
Step 1: Find the prime factorization of 5843
5843 = 5843
Step 2: Find the prime factorization of 5849
5849 = 5849
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34175707 = 5843 x 5849
Step 4: Therefore, the least common multiple of 5843 and 5849 is 34175707.