Least Common Multiple of 5999 and 6003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5999 and 6003 the smallest integer that is 36011997 that is divisible by both numbers.
Least Common Multiple (LCM) of 5999 and 6003 is 36011997.
LCM(5999,6003) = 36011997
LCM of 5999 and 6003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5999 and 6003 by Prime method
- Least Common Multiple of 5999 and 6003 with GCF Formula
LCM of 5999 and 6003 is 36011997
Least common multiple can be found by multiplying the highest exponent prime factors of 5999 and 6003. First we will calculate the prime factors of 5999 and 6003.
Prime Factorization of 5999
| 7 | 5999 |
| 857 | 857 |
| 1 |
Prime factors of 5999 are 7,857. Prime factorization of 5999 in exponential form is:
5999 = 71×8571
Prime Factorization of 6003
| 3 | 6003 |
| 3 | 2001 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 6003 are 3, 23,29. Prime factorization of 6003 in exponential form is:
6003 = 32×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6003.
LCM(5999,6003) = 32×71×231×291×8571
LCM(5999,6003) = 36011997
Factors of 5999
List of positive integer factors of 5999 that divides 5999 without a remainder.
1, 7, 857, 5999
Factors of 6003
List of positive integer factors of 6003 that divides 6003 without a remainder.
1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003
Least Common Multiple of 5999 and 6003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5999 and 6003, than apply into the LCM equation.
GCF(5999,6003) = 1
LCM(5999,6003) = ( 5999 × 6003) / 1
LCM(5999,6003) = 36011997 / 1
LCM(5999,6003) = 36011997
Properties of LCM 5999 and 6003
(i) The LCM of 6003 and 5999 is associative
LCM of 5999 and 6003 = LCM of 6003 and 5999
Related Least Common Multiples of 5999
Related Least Common Multiples of 6003
Frequently Asked Questions on LCM of 5999 and 6003
1. What is the LCM of 5999 and 6003?
Answer: LCM of 5999 and 6003 is 36011997.
2. What are the Factors of 5999?
Answer: Factors of 5999 are 1, 7, 857, 5999. There are 4 integers that are factors of 5999. The greatest factor of 5999 is 5999.
3. What are the Factors of 6003?
Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.
4. How to Find the LCM of 5999 and 6003?
Answer:
Least Common Multiple of 5999 and 6003 = 36011997
Step 1: Find the prime factorization of 5999
5999 = 7 x 857
Step 2: Find the prime factorization of 6003
6003 = 3 x 3 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36011997 = 3 x 3 x 7 x 23 x 29 x 857
Step 4: Therefore, the least common multiple of 5999 and 6003 is 36011997.