Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5844 and 5851 the smallest integer that is 34193244 that is divisible by both numbers.
Least Common Multiple (LCM) of 5844 and 5851 is 34193244.
LCM(5844,5851) = 34193244
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 5844 and 5851. First we will calculate the prime factors of 5844 and 5851.
Prime Factorization of 5844
2 | 5844 |
2 | 2922 |
3 | 1461 |
487 | 487 |
1 |
Prime factors of 5844 are 2, 3,487. Prime factorization of 5844 in exponential form is:
5844 = 22×31×4871
Prime Factorization of 5851
5851 | 5851 |
1 |
Prime factors of 5851 are 5851. Prime factorization of 5851 in exponential form is:
5851 = 58511
Now multiplying the highest exponent prime factors to calculate the LCM of 5844 and 5851.
LCM(5844,5851) = 22×31×4871×58511
LCM(5844,5851) = 34193244
Factors of 5844
List of positive integer factors of 5844 that divides 5844 without a remainder.
1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844
Factors of 5851
List of positive integer factors of 5851 that divides 5851 without a remainder.
1, 5851
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5844 and 5851, than apply into the LCM equation.
GCF(5844,5851) = 1
LCM(5844,5851) = ( 5844 × 5851) / 1
LCM(5844,5851) = 34193244 / 1
LCM(5844,5851) = 34193244
(i) The LCM of 5851 and 5844 is associative
LCM of 5844 and 5851 = LCM of 5851 and 5844
1. What is the LCM of 5844 and 5851?
Answer: LCM of 5844 and 5851 is 34193244.
2. What are the Factors of 5844?
Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.
3. What are the Factors of 5851?
Answer: Factors of 5851 are 1, 5851. There are 2 integers that are factors of 5851. The greatest factor of 5851 is 5851.
4. How to Find the LCM of 5844 and 5851?
Answer:
Least Common Multiple of 5844 and 5851 = 34193244
Step 1: Find the prime factorization of 5844
5844 = 2 x 2 x 3 x 487
Step 2: Find the prime factorization of 5851
5851 = 5851
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34193244 = 2 x 2 x 3 x 487 x 5851
Step 4: Therefore, the least common multiple of 5844 and 5851 is 34193244.