Least Common Multiple of 5994 and 6001
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5994 and 6001 the smallest integer that is 35969994 that is divisible by both numbers.
Least Common Multiple (LCM) of 5994 and 6001 is 35969994.
LCM(5994,6001) = 35969994
LCM of 5994 and 6001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5994 and 6001 by Prime method
- Least Common Multiple of 5994 and 6001 with GCF Formula
LCM of 5994 and 6001 is 35969994
Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 6001. First we will calculate the prime factors of 5994 and 6001.
Prime Factorization of 5994
| 2 | 5994 |
| 3 | 2997 |
| 3 | 999 |
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 5994 are 2, 3,37. Prime factorization of 5994 in exponential form is:
5994 = 21×34×371
Prime Factorization of 6001
| 17 | 6001 |
| 353 | 353 |
| 1 |
Prime factors of 6001 are 17,353. Prime factorization of 6001 in exponential form is:
6001 = 171×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 5994 and 6001.
LCM(5994,6001) = 21×34×171×371×3531
LCM(5994,6001) = 35969994
Factors of 5994
List of positive integer factors of 5994 that divides 5994 without a remainder.
1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994
Factors of 6001
List of positive integer factors of 6001 that divides 6001 without a remainder.
1, 17, 353, 6001
Least Common Multiple of 5994 and 6001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5994 and 6001, than apply into the LCM equation.
GCF(5994,6001) = 1
LCM(5994,6001) = ( 5994 × 6001) / 1
LCM(5994,6001) = 35969994 / 1
LCM(5994,6001) = 35969994
Properties of LCM 5994 and 6001
(i) The LCM of 6001 and 5994 is associative
LCM of 5994 and 6001 = LCM of 6001 and 5994
Related Least Common Multiples of 5994
Related Least Common Multiples of 6001
Frequently Asked Questions on LCM of 5994 and 6001
1. What is the LCM of 5994 and 6001?
Answer: LCM of 5994 and 6001 is 35969994.
2. What are the Factors of 5994?
Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.
3. What are the Factors of 6001?
Answer: Factors of 6001 are 1, 17, 353, 6001. There are 4 integers that are factors of 6001. The greatest factor of 6001 is 6001.
4. How to Find the LCM of 5994 and 6001?
Answer:
Least Common Multiple of 5994 and 6001 = 35969994
Step 1: Find the prime factorization of 5994
5994 = 2 x 3 x 3 x 3 x 3 x 37
Step 2: Find the prime factorization of 6001
6001 = 17 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35969994 = 2 x 3 x 3 x 3 x 3 x 17 x 37 x 353
Step 4: Therefore, the least common multiple of 5994 and 6001 is 35969994.