Least Common Multiple of 5811 and 5818
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 5818 the smallest integer that is 33808398 that is divisible by both numbers.
Least Common Multiple (LCM) of 5811 and 5818 is 33808398.
LCM(5811,5818) = 33808398
LCM of 5811 and 5818
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5811 and 5818 by Prime method
- Least Common Multiple of 5811 and 5818 with GCF Formula
LCM of 5811 and 5818 is 33808398
Least common multiple can be found by multiplying the highest exponent prime factors of 5811 and 5818. First we will calculate the prime factors of 5811 and 5818.
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 5818
| 2 | 5818 |
| 2909 | 2909 |
| 1 |
Prime factors of 5818 are 2,2909. Prime factorization of 5818 in exponential form is:
5818 = 21×29091
Now multiplying the highest exponent prime factors to calculate the LCM of 5811 and 5818.
LCM(5811,5818) = 21×31×131×1491×29091
LCM(5811,5818) = 33808398
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 5818
List of positive integer factors of 5818 that divides 5818 without a remainder.
1, 2, 2909, 5818
Least Common Multiple of 5811 and 5818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5811 and 5818, than apply into the LCM equation.
GCF(5811,5818) = 1
LCM(5811,5818) = ( 5811 × 5818) / 1
LCM(5811,5818) = 33808398 / 1
LCM(5811,5818) = 33808398
Properties of LCM 5811 and 5818
(i) The LCM of 5818 and 5811 is associative
LCM of 5811 and 5818 = LCM of 5818 and 5811
Related Least Common Multiples of 5811
Related Least Common Multiples of 5818
Frequently Asked Questions on LCM of 5811 and 5818
1. What is the LCM of 5811 and 5818?
Answer: LCM of 5811 and 5818 is 33808398.
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 5818?
Answer: Factors of 5818 are 1, 2, 2909, 5818. There are 4 integers that are factors of 5818. The greatest factor of 5818 is 5818.
4. How to Find the LCM of 5811 and 5818?
Answer:
Least Common Multiple of 5811 and 5818 = 33808398
Step 1: Find the prime factorization of 5811
5811 = 3 x 13 x 149
Step 2: Find the prime factorization of 5818
5818 = 2 x 2909
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33808398 = 2 x 3 x 13 x 149 x 2909
Step 4: Therefore, the least common multiple of 5811 and 5818 is 33808398.