Least Common Multiple of 3005 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 3005 and 3013 the smallest integer that is 9054065 that is divisible by both numbers.
Least Common Multiple (LCM) of 3005 and 3013 is 9054065.
LCM(3005,3013) = 9054065
LCM of 3005 and 3013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3005 and 3013 by Prime method
- Least Common Multiple of 3005 and 3013 with GCF Formula
LCM of 3005 and 3013 is 9054065
Least common multiple can be found by multiplying the highest exponent prime factors of 3005 and 3013. First we will calculate the prime factors of 3005 and 3013.
Prime Factorization of 3005
| 5 | 3005 |
| 601 | 601 |
| 1 |
Prime factors of 3005 are 5,601. Prime factorization of 3005 in exponential form is:
3005 = 51×6011
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 3005 and 3013.
LCM(3005,3013) = 51×231×1311×6011
LCM(3005,3013) = 9054065
Factors of 3005
List of positive integer factors of 3005 that divides 3005 without a remainder.
1, 5, 601, 3005
Factors of 3013
List of positive integer factors of 3013 that divides 3013 without a remainder.
1, 23, 131, 3013
Least Common Multiple of 3005 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 3005 and 3013, than apply into the LCM equation.
GCF(3005,3013) = 1
LCM(3005,3013) = ( 3005 × 3013) / 1
LCM(3005,3013) = 9054065 / 1
LCM(3005,3013) = 9054065
Properties of LCM 3005 and 3013
(i) The LCM of 3013 and 3005 is associative
LCM of 3005 and 3013 = LCM of 3013 and 3005
Related Least Common Multiples of 3005
Related Least Common Multiples of 3013
Frequently Asked Questions on LCM of 3005 and 3013
1. What is the LCM of 3005 and 3013?
Answer: LCM of 3005 and 3013 is 9054065.
2. What are the Factors of 3005?
Answer: Factors of 3005 are 1, 5, 601, 3005. There are 4 integers that are factors of 3005. The greatest factor of 3005 is 3005.
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 3005 and 3013?
Answer:
Least Common Multiple of 3005 and 3013 = 9054065
Step 1: Find the prime factorization of 3005
3005 = 5 x 601
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 = 9054065 = 5 x 23 x 131 x 601
Step 4: Therefore, the least common multiple of 3005 and 3013 is 9054065.