Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5811 and 5817 the smallest integer that is 11267529 that is divisible by both numbers.
Least Common Multiple (LCM) of 5811 and 5817 is 11267529.
LCM(5811,5817) = 11267529
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 5811 and 5817. First we will calculate the prime factors of 5811 and 5817.
Prime Factorization of 5811
3 | 5811 |
13 | 1937 |
149 | 149 |
1 |
Prime factors of 5811 are 3, 13,149. Prime factorization of 5811 in exponential form is:
5811 = 31×131×1491
Prime Factorization of 5817
3 | 5817 |
7 | 1939 |
277 | 277 |
1 |
Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:
5817 = 31×71×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 5811 and 5817.
LCM(5811,5817) = 31×71×131×1491×2771
LCM(5811,5817) = 11267529
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1, 3, 13, 39, 149, 447, 1937, 5811
Factors of 5817
List of positive integer factors of 5817 that divides 5817 without a remainder.
1, 3, 7, 21, 277, 831, 1939, 5817
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5811 and 5817, than apply into the LCM equation.
GCF(5811,5817) = 3
LCM(5811,5817) = ( 5811 × 5817) / 3
LCM(5811,5817) = 33802587 / 3
LCM(5811,5817) = 11267529
(i) The LCM of 5817 and 5811 is associative
LCM of 5811 and 5817 = LCM of 5817 and 5811
1. What is the LCM of 5811 and 5817?
Answer: LCM of 5811 and 5817 is 11267529.
2. What are the Factors of 5811?
Answer: Factors of 5811 are 1, 3, 13, 39, 149, 447, 1937, 5811. There are 8 integers that are factors of 5811. The greatest factor of 5811 is 5811.
3. What are the Factors of 5817?
Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.
4. How to Find the LCM of 5811 and 5817?
Answer:
Least Common Multiple of 5811 and 5817 = 11267529
Step 1: Find the prime factorization of 5811
5811 = 3 x 13 x 149
Step 2: Find the prime factorization of 5817
5817 = 3 x 7 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11267529 = 3 x 7 x 13 x 149 x 277
Step 4: Therefore, the least common multiple of 5811 and 5817 is 11267529.