Least Common Multiple of 5803 and 5805
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 5805 the smallest integer that is 33686415 that is divisible by both numbers.
Least Common Multiple (LCM) of 5803 and 5805 is 33686415.
LCM(5803,5805) = 33686415
LCM of 5803 and 5805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5803 and 5805 by Prime method
- Least Common Multiple of 5803 and 5805 with GCF Formula
LCM of 5803 and 5805 is 33686415
Least common multiple can be found by multiplying the highest exponent prime factors of 5803 and 5805. First we will calculate the prime factors of 5803 and 5805.
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 5805
| 3 | 5805 |
| 3 | 1935 |
| 3 | 645 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 5805 are 3, 5,43. Prime factorization of 5805 in exponential form is:
5805 = 33×51×431
Now multiplying the highest exponent prime factors to calculate the LCM of 5803 and 5805.
LCM(5803,5805) = 33×51×71×431×8291
LCM(5803,5805) = 33686415
Factors of 5803
List of positive integer factors of 5803 that divides 5803 without a remainder.
1, 7, 829, 5803
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
Least Common Multiple of 5803 and 5805 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 5805, than apply into the LCM equation.
GCF(5803,5805) = 1
LCM(5803,5805) = ( 5803 × 5805) / 1
LCM(5803,5805) = 33686415 / 1
LCM(5803,5805) = 33686415
Properties of LCM 5803 and 5805
(i) The LCM of 5805 and 5803 is associative
LCM of 5803 and 5805 = LCM of 5805 and 5803
Related Least Common Multiples of 5803
Related Least Common Multiples of 5805
Frequently Asked Questions on LCM of 5803 and 5805
1. What is the LCM of 5803 and 5805?
Answer: LCM of 5803 and 5805 is 33686415.
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 5805?
Answer: Factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805. There are 16 integers that are factors of 5805. The greatest factor of 5805 is 5805.
4. How to Find the LCM of 5803 and 5805?
Answer:
Least Common Multiple of 5803 and 5805 = 33686415
Step 1: Find the prime factorization of 5803
5803 = 7 x 829
Step 2: Find the prime factorization of 5805
5805 = 3 x 3 x 3 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33686415 = 3 x 3 x 3 x 5 x 7 x 43 x 829
Step 4: Therefore, the least common multiple of 5803 and 5805 is 33686415.