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 6007 the smallest integer that is 36035993 that is divisible by both numbers.
Least Common Multiple (LCM) of 5999 and 6007 is 36035993.
LCM(5999,6007) = 36035993
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5999 and 6007. First we will calculate the prime factors of 5999 and 6007.
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 6007
6007 | 6007 |
1 |
Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:
6007 = 60071
Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6007.
LCM(5999,6007) = 71×8571×60071
LCM(5999,6007) = 36035993
Factors of 5999
List of positive integer factors of 5999 that divides 5999 without a remainder.
1, 7, 857, 5999
Factors of 6007
List of positive integer factors of 6007 that divides 6007 without a remainder.
1, 6007
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5999 and 6007, than apply into the LCM equation.
GCF(5999,6007) = 1
LCM(5999,6007) = ( 5999 × 6007) / 1
LCM(5999,6007) = 36035993 / 1
LCM(5999,6007) = 36035993
(i) The LCM of 6007 and 5999 is associative
LCM of 5999 and 6007 = LCM of 6007 and 5999
1. What is the LCM of 5999 and 6007?
Answer: LCM of 5999 and 6007 is 36035993.
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 6007?
Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.
4. How to Find the LCM of 5999 and 6007?
Answer:
Least Common Multiple of 5999 and 6007 = 36035993
Step 1: Find the prime factorization of 5999
5999 = 7 x 857
Step 2: Find the prime factorization of 6007
6007 = 6007
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36035993 = 7 x 857 x 6007
Step 4: Therefore, the least common multiple of 5999 and 6007 is 36035993.