Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5841 and 5849 the smallest integer that is 34164009 that is divisible by both numbers.
Least Common Multiple (LCM) of 5841 and 5849 is 34164009.
LCM(5841,5849) = 34164009
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 5841 and 5849. First we will calculate the prime factors of 5841 and 5849.
Prime Factorization of 5841
3 | 5841 |
3 | 1947 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 5841 are 3, 11,59. Prime factorization of 5841 in exponential form is:
5841 = 32×111×591
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 5841 and 5849.
LCM(5841,5849) = 32×111×591×58491
LCM(5841,5849) = 34164009
Factors of 5841
List of positive integer factors of 5841 that divides 5841 without a remainder.
1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841
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 5841 and 5849, than apply into the LCM equation.
GCF(5841,5849) = 1
LCM(5841,5849) = ( 5841 × 5849) / 1
LCM(5841,5849) = 34164009 / 1
LCM(5841,5849) = 34164009
(i) The LCM of 5849 and 5841 is associative
LCM of 5841 and 5849 = LCM of 5849 and 5841
1. What is the LCM of 5841 and 5849?
Answer: LCM of 5841 and 5849 is 34164009.
2. What are the Factors of 5841?
Answer: Factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841. There are 12 integers that are factors of 5841. The greatest factor of 5841 is 5841.
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 5841 and 5849?
Answer:
Least Common Multiple of 5841 and 5849 = 34164009
Step 1: Find the prime factorization of 5841
5841 = 3 x 3 x 11 x 59
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 = 34164009 = 3 x 3 x 11 x 59 x 5849
Step 4: Therefore, the least common multiple of 5841 and 5849 is 34164009.