Least Common Multiple of 5998 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 5998 and 6003 the smallest integer that is 36005994 that is divisible by both numbers.
Least Common Multiple (LCM) of 5998 and 6003 is 36005994.
LCM(5998,6003) = 36005994
LCM of 5998 and 6003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5998 and 6003 by Prime method
- Least Common Multiple of 5998 and 6003 with GCF Formula
LCM of 5998 and 6003 is 36005994
Least common multiple can be found by multiplying the highest exponent prime factors of 5998 and 6003. First we will calculate the prime factors of 5998 and 6003.
Prime Factorization of 5998
| 2 | 5998 |
| 2999 | 2999 |
| 1 |
Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:
5998 = 21×29991
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 5998 and 6003.
LCM(5998,6003) = 21×32×231×291×29991
LCM(5998,6003) = 36005994
Factors of 5998
List of positive integer factors of 5998 that divides 5998 without a remainder.
1, 2, 2999, 5998
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 5998 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 5998 and 6003, than apply into the LCM equation.
GCF(5998,6003) = 1
LCM(5998,6003) = ( 5998 × 6003) / 1
LCM(5998,6003) = 36005994 / 1
LCM(5998,6003) = 36005994
Properties of LCM 5998 and 6003
(i) The LCM of 6003 and 5998 is associative
LCM of 5998 and 6003 = LCM of 6003 and 5998
Related Least Common Multiples of 5998
Related Least Common Multiples of 6003
Frequently Asked Questions on LCM of 5998 and 6003
1. What is the LCM of 5998 and 6003?
Answer: LCM of 5998 and 6003 is 36005994.
2. What are the Factors of 5998?
Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.
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 5998 and 6003?
Answer:
Least Common Multiple of 5998 and 6003 = 36005994
Step 1: Find the prime factorization of 5998
5998 = 2 x 2999
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 = 36005994 = 2 x 3 x 3 x 23 x 29 x 2999
Step 4: Therefore, the least common multiple of 5998 and 6003 is 36005994.