Least Common Multiple of 5810 and 5811
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5810 and 5811 the smallest integer that is 33761910 that is divisible by both numbers.
Least Common Multiple (LCM) of 5810 and 5811 is 33761910.
LCM(5810,5811) = 33761910
LCM of 5810 and 5811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5810 and 5811 by Prime method
- Least Common Multiple of 5810 and 5811 with GCF Formula
LCM of 5810 and 5811 is 33761910
Least common multiple can be found by multiplying the highest exponent prime factors of 5810 and 5811. First we will calculate the prime factors of 5810 and 5811.
Prime Factorization of 5810
| 2 | 5810 |
| 5 | 2905 |
| 7 | 581 |
| 83 | 83 |
| 1 |
Prime factors of 5810 are 2, 5, 7,83. Prime factorization of 5810 in exponential form is:
5810 = 21×51×71×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5810 and 5811.
LCM(5810,5811) = 21×31×51×71×131×831×1491
LCM(5810,5811) = 33761910
Factors of 5810
List of positive integer factors of 5810 that divides 5810 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1, 3, 13, 39, 149, 447, 1937, 5811
Least Common Multiple of 5810 and 5811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5810 and 5811, than apply into the LCM equation.
GCF(5810,5811) = 1
LCM(5810,5811) = ( 5810 × 5811) / 1
LCM(5810,5811) = 33761910 / 1
LCM(5810,5811) = 33761910
Properties of LCM 5810 and 5811
(i) The LCM of 5811 and 5810 is associative
LCM of 5810 and 5811 = LCM of 5811 and 5810
Related Least Common Multiples of 5810
Related Least Common Multiples of 5811
Frequently Asked Questions on LCM of 5810 and 5811
1. What is the LCM of 5810 and 5811?
Answer: LCM of 5810 and 5811 is 33761910.
2. What are the Factors of 5810?
Answer: Factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810. There are 16 integers that are factors of 5810. The greatest factor of 5810 is 5810.
3. 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.
4. How to Find the LCM of 5810 and 5811?
Answer:
Least Common Multiple of 5810 and 5811 = 33761910
Step 1: Find the prime factorization of 5810
5810 = 2 x 5 x 7 x 83
Step 2: Find the prime factorization of 5811
5811 = 3 x 13 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33761910 = 2 x 3 x 5 x 7 x 13 x 83 x 149
Step 4: Therefore, the least common multiple of 5810 and 5811 is 33761910.