Least Common Multiple of 3009 and 3013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3009 and 3013 the smallest integer that is 9066117 that is divisible by both numbers.
Least Common Multiple (LCM) of 3009 and 3013 is 9066117.
LCM(3009,3013) = 9066117
LCM of 3009 and 3013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3009 and 3013 by Prime method
- Least Common Multiple of 3009 and 3013 with GCF Formula
LCM of 3009 and 3013 is 9066117
Least common multiple can be found by multiplying the highest exponent prime factors of 3009 and 3013. First we will calculate the prime factors of 3009 and 3013.
Prime Factorization of 3009
| 3 | 3009 |
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 3009 are 3, 17,59. Prime factorization of 3009 in exponential form is:
3009 = 31×171×591
Prime Factorization of 3013
| 23 | 3013 |
| 131 | 131 |
| 1 |
Prime factors of 3013 are 23,131. Prime factorization of 3013 in exponential form is:
3013 = 231×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 3009 and 3013.
LCM(3009,3013) = 31×171×231×591×1311
LCM(3009,3013) = 9066117
Factors of 3009
List of positive integer factors of 3009 that divides 3009 without a remainder.
1, 3, 17, 51, 59, 177, 1003, 3009
Factors of 3013
List of positive integer factors of 3013 that divides 3013 without a remainder.
1, 23, 131, 3013
Least Common Multiple of 3009 and 3013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3009 and 3013, than apply into the LCM equation.
GCF(3009,3013) = 1
LCM(3009,3013) = ( 3009 × 3013) / 1
LCM(3009,3013) = 9066117 / 1
LCM(3009,3013) = 9066117
Properties of LCM 3009 and 3013
(i) The LCM of 3013 and 3009 is associative
LCM of 3009 and 3013 = LCM of 3013 and 3009
Related Least Common Multiples of 3009
Related Least Common Multiples of 3013
Frequently Asked Questions on LCM of 3009 and 3013
1. What is the LCM of 3009 and 3013?
Answer: LCM of 3009 and 3013 is 9066117.
2. What are the Factors of 3009?
Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.
3. What are the Factors of 3013?
Answer: Factors of 3013 are 1, 23, 131, 3013. There are 4 integers that are factors of 3013. The greatest factor of 3013 is 3013.
4. How to Find the LCM of 3009 and 3013?
Answer:
Least Common Multiple of 3009 and 3013 = 9066117
Step 1: Find the prime factorization of 3009
3009 = 3 x 17 x 59
Step 2: Find the prime factorization of 3013
3013 = 23 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9066117 = 3 x 17 x 23 x 59 x 131
Step 4: Therefore, the least common multiple of 3009 and 3013 is 9066117.