Least Common Multiple of 5899 and 5905
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5899 and 5905 the smallest integer that is 34833595 that is divisible by both numbers.
Least Common Multiple (LCM) of 5899 and 5905 is 34833595.
LCM(5899,5905) = 34833595
LCM of 5899 and 5905
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5899 and 5905 by Prime method
- Least Common Multiple of 5899 and 5905 with GCF Formula
LCM of 5899 and 5905 is 34833595
Least common multiple can be found by multiplying the highest exponent prime factors of 5899 and 5905. First we will calculate the prime factors of 5899 and 5905.
Prime Factorization of 5899
| 17 | 5899 |
| 347 | 347 |
| 1 |
Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:
5899 = 171×3471
Prime Factorization of 5905
| 5 | 5905 |
| 1181 | 1181 |
| 1 |
Prime factors of 5905 are 5,1181. Prime factorization of 5905 in exponential form is:
5905 = 51×11811
Now multiplying the highest exponent prime factors to calculate the LCM of 5899 and 5905.
LCM(5899,5905) = 51×171×3471×11811
LCM(5899,5905) = 34833595
Factors of 5899
List of positive integer factors of 5899 that divides 5899 without a remainder.
1, 17, 347, 5899
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1, 5, 1181, 5905
Least Common Multiple of 5899 and 5905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5899 and 5905, than apply into the LCM equation.
GCF(5899,5905) = 1
LCM(5899,5905) = ( 5899 × 5905) / 1
LCM(5899,5905) = 34833595 / 1
LCM(5899,5905) = 34833595
Properties of LCM 5899 and 5905
(i) The LCM of 5905 and 5899 is associative
LCM of 5899 and 5905 = LCM of 5905 and 5899
Related Least Common Multiples of 5899
Related Least Common Multiples of 5905
Frequently Asked Questions on LCM of 5899 and 5905
1. What is the LCM of 5899 and 5905?
Answer: LCM of 5899 and 5905 is 34833595.
2. What are the Factors of 5899?
Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.
3. What are the Factors of 5905?
Answer: Factors of 5905 are 1, 5, 1181, 5905. There are 4 integers that are factors of 5905. The greatest factor of 5905 is 5905.
4. How to Find the LCM of 5899 and 5905?
Answer:
Least Common Multiple of 5899 and 5905 = 34833595
Step 1: Find the prime factorization of 5899
5899 = 17 x 347
Step 2: Find the prime factorization of 5905
5905 = 5 x 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34833595 = 5 x 17 x 347 x 1181
Step 4: Therefore, the least common multiple of 5899 and 5905 is 34833595.