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 6006 the smallest integer that is 5147142 that is divisible by both numbers.
Least Common Multiple (LCM) of 5999 and 6006 is 5147142.
LCM(5999,6006) = 5147142
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 6006. First we will calculate the prime factors of 5999 and 6006.
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 6006
2 | 6006 |
3 | 3003 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 6006 are 2, 3, 7, 11,13. Prime factorization of 6006 in exponential form is:
6006 = 21×31×71×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6006.
LCM(5999,6006) = 21×31×71×111×131×8571
LCM(5999,6006) = 5147142
Factors of 5999
List of positive integer factors of 5999 that divides 5999 without a remainder.
1, 7, 857, 5999
Factors of 6006
List of positive integer factors of 6006 that divides 6006 without a remainder.
1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5999 and 6006, than apply into the LCM equation.
GCF(5999,6006) = 7
LCM(5999,6006) = ( 5999 × 6006) / 7
LCM(5999,6006) = 36029994 / 7
LCM(5999,6006) = 5147142
(i) The LCM of 6006 and 5999 is associative
LCM of 5999 and 6006 = LCM of 6006 and 5999
1. What is the LCM of 5999 and 6006?
Answer: LCM of 5999 and 6006 is 5147142.
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 6006?
Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.
4. How to Find the LCM of 5999 and 6006?
Answer:
Least Common Multiple of 5999 and 6006 = 5147142
Step 1: Find the prime factorization of 5999
5999 = 7 x 857
Step 2: Find the prime factorization of 6006
6006 = 2 x 3 x 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5147142 = 2 x 3 x 7 x 11 x 13 x 857
Step 4: Therefore, the least common multiple of 5999 and 6006 is 5147142.