Least Common Multiple of 5899 and 5907
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 5907 the smallest integer that is 34845393 that is divisible by both numbers.
Least Common Multiple (LCM) of 5899 and 5907 is 34845393.
LCM(5899,5907) = 34845393
LCM of 5899 and 5907
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5899 and 5907 by Prime method
- Least Common Multiple of 5899 and 5907 with GCF Formula
LCM of 5899 and 5907 is 34845393
Least common multiple can be found by multiplying the highest exponent prime factors of 5899 and 5907. First we will calculate the prime factors of 5899 and 5907.
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 5907
| 3 | 5907 |
| 11 | 1969 |
| 179 | 179 |
| 1 |
Prime factors of 5907 are 3, 11,179. Prime factorization of 5907 in exponential form is:
5907 = 31×111×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 5899 and 5907.
LCM(5899,5907) = 31×111×171×1791×3471
LCM(5899,5907) = 34845393
Factors of 5899
List of positive integer factors of 5899 that divides 5899 without a remainder.
1, 17, 347, 5899
Factors of 5907
List of positive integer factors of 5907 that divides 5907 without a remainder.
1, 3, 11, 33, 179, 537, 1969, 5907
Least Common Multiple of 5899 and 5907 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 5907, than apply into the LCM equation.
GCF(5899,5907) = 1
LCM(5899,5907) = ( 5899 × 5907) / 1
LCM(5899,5907) = 34845393 / 1
LCM(5899,5907) = 34845393
Properties of LCM 5899 and 5907
(i) The LCM of 5907 and 5899 is associative
LCM of 5899 and 5907 = LCM of 5907 and 5899
Related Least Common Multiples of 5899
Related Least Common Multiples of 5907
Frequently Asked Questions on LCM of 5899 and 5907
1. What is the LCM of 5899 and 5907?
Answer: LCM of 5899 and 5907 is 34845393.
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 5907?
Answer: Factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907. There are 8 integers that are factors of 5907. The greatest factor of 5907 is 5907.
4. How to Find the LCM of 5899 and 5907?
Answer:
Least Common Multiple of 5899 and 5907 = 34845393
Step 1: Find the prime factorization of 5899
5899 = 17 x 347
Step 2: Find the prime factorization of 5907
5907 = 3 x 11 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34845393 = 3 x 11 x 17 x 179 x 347
Step 4: Therefore, the least common multiple of 5899 and 5907 is 34845393.