Least Common Multiple of 6009 and 6014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6009 and 6014 the smallest integer that is 36138126 that is divisible by both numbers.
Least Common Multiple (LCM) of 6009 and 6014 is 36138126.
LCM(6009,6014) = 36138126
LCM of 6009 and 6014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6009 and 6014 by Prime method
- Least Common Multiple of 6009 and 6014 with GCF Formula
LCM of 6009 and 6014 is 36138126
Least common multiple can be found by multiplying the highest exponent prime factors of 6009 and 6014. First we will calculate the prime factors of 6009 and 6014.
Prime Factorization of 6009
| 3 | 6009 |
| 2003 | 2003 |
| 1 |
Prime factors of 6009 are 3,2003. Prime factorization of 6009 in exponential form is:
6009 = 31×20031
Prime Factorization of 6014
| 2 | 6014 |
| 31 | 3007 |
| 97 | 97 |
| 1 |
Prime factors of 6014 are 2, 31,97. Prime factorization of 6014 in exponential form is:
6014 = 21×311×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6009 and 6014.
LCM(6009,6014) = 21×31×311×971×20031
LCM(6009,6014) = 36138126
Factors of 6009
List of positive integer factors of 6009 that divides 6009 without a remainder.
1, 3, 2003, 6009
Factors of 6014
List of positive integer factors of 6014 that divides 6014 without a remainder.
1, 2, 31, 62, 97, 194, 3007, 6014
Least Common Multiple of 6009 and 6014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6009 and 6014, than apply into the LCM equation.
GCF(6009,6014) = 1
LCM(6009,6014) = ( 6009 × 6014) / 1
LCM(6009,6014) = 36138126 / 1
LCM(6009,6014) = 36138126
Properties of LCM 6009 and 6014
(i) The LCM of 6014 and 6009 is associative
LCM of 6009 and 6014 = LCM of 6014 and 6009
Related Least Common Multiples of 6009
Related Least Common Multiples of 6014
Frequently Asked Questions on LCM of 6009 and 6014
1. What is the LCM of 6009 and 6014?
Answer: LCM of 6009 and 6014 is 36138126.
2. What are the Factors of 6009?
Answer: Factors of 6009 are 1, 3, 2003, 6009. There are 4 integers that are factors of 6009. The greatest factor of 6009 is 6009.
3. What are the Factors of 6014?
Answer: Factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014. There are 8 integers that are factors of 6014. The greatest factor of 6014 is 6014.
4. How to Find the LCM of 6009 and 6014?
Answer:
Least Common Multiple of 6009 and 6014 = 36138126
Step 1: Find the prime factorization of 6009
6009 = 3 x 2003
Step 2: Find the prime factorization of 6014
6014 = 2 x 31 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36138126 = 2 x 3 x 31 x 97 x 2003
Step 4: Therefore, the least common multiple of 6009 and 6014 is 36138126.