Least Common Multiple of 6001 and 6006
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6001 and 6006 the smallest integer that is 36042006 that is divisible by both numbers.
Least Common Multiple (LCM) of 6001 and 6006 is 36042006.
LCM(6001,6006) = 36042006
LCM of 6001 and 6006
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6001 and 6006 by Prime method
- Least Common Multiple of 6001 and 6006 with GCF Formula
LCM of 6001 and 6006 is 36042006
Least common multiple can be found by multiplying the highest exponent prime factors of 6001 and 6006. First we will calculate the prime factors of 6001 and 6006.
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
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 6001 and 6006.
LCM(6001,6006) = 21×31×71×111×131×171×3531
LCM(6001,6006) = 36042006
Factors of 6001
List of positive integer factors of 6001 that divides 6001 without a remainder.
1, 17, 353, 6001
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
Least Common Multiple of 6001 and 6006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6001 and 6006, than apply into the LCM equation.
GCF(6001,6006) = 1
LCM(6001,6006) = ( 6001 × 6006) / 1
LCM(6001,6006) = 36042006 / 1
LCM(6001,6006) = 36042006
Properties of LCM 6001 and 6006
(i) The LCM of 6006 and 6001 is associative
LCM of 6001 and 6006 = LCM of 6006 and 6001
Related Least Common Multiples of 6001
Related Least Common Multiples of 6006
Frequently Asked Questions on LCM of 6001 and 6006
1. What is the LCM of 6001 and 6006?
Answer: LCM of 6001 and 6006 is 36042006.
2. 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.
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 6001 and 6006?
Answer:
Least Common Multiple of 6001 and 6006 = 36042006
Step 1: Find the prime factorization of 6001
6001 = 17 x 353
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 = 36042006 = 2 x 3 x 7 x 11 x 13 x 17 x 353
Step 4: Therefore, the least common multiple of 6001 and 6006 is 36042006.