Least Common Multiple of 5803 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 5803 and 5811 the smallest integer that is 33721233 that is divisible by both numbers.
Least Common Multiple (LCM) of 5803 and 5811 is 33721233.
LCM(5803,5811) = 33721233
LCM of 5803 and 5811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5803 and 5811 by Prime method
- Least Common Multiple of 5803 and 5811 with GCF Formula
LCM of 5803 and 5811 is 33721233
Least common multiple can be found by multiplying the highest exponent prime factors of 5803 and 5811. First we will calculate the prime factors of 5803 and 5811.
Prime Factorization of 5803
| 7 | 5803 |
| 829 | 829 |
| 1 |
Prime factors of 5803 are 7,829. Prime factorization of 5803 in exponential form is:
5803 = 71×8291
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 5803 and 5811.
LCM(5803,5811) = 31×71×131×1491×8291
LCM(5803,5811) = 33721233
Factors of 5803
List of positive integer factors of 5803 that divides 5803 without a remainder.
1, 7, 829, 5803
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 5803 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 5803 and 5811, than apply into the LCM equation.
GCF(5803,5811) = 1
LCM(5803,5811) = ( 5803 × 5811) / 1
LCM(5803,5811) = 33721233 / 1
LCM(5803,5811) = 33721233
Properties of LCM 5803 and 5811
(i) The LCM of 5811 and 5803 is associative
LCM of 5803 and 5811 = LCM of 5811 and 5803
Related Least Common Multiples of 5803
Related Least Common Multiples of 5811
Frequently Asked Questions on LCM of 5803 and 5811
1. What is the LCM of 5803 and 5811?
Answer: LCM of 5803 and 5811 is 33721233.
2. What are the Factors of 5803?
Answer: Factors of 5803 are 1, 7, 829, 5803. There are 4 integers that are factors of 5803. The greatest factor of 5803 is 5803.
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 5803 and 5811?
Answer:
Least Common Multiple of 5803 and 5811 = 33721233
Step 1: Find the prime factorization of 5803
5803 = 7 x 829
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 = 33721233 = 3 x 7 x 13 x 149 x 829
Step 4: Therefore, the least common multiple of 5803 and 5811 is 33721233.