Least Common Multiple of 6013 and 6018
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6013 and 6018 the smallest integer that is 36186234 that is divisible by both numbers.
Least Common Multiple (LCM) of 6013 and 6018 is 36186234.
LCM(6013,6018) = 36186234
LCM of 6013 and 6018
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6013 and 6018 by Prime method
- Least Common Multiple of 6013 and 6018 with GCF Formula
LCM of 6013 and 6018 is 36186234
Least common multiple can be found by multiplying the highest exponent prime factors of 6013 and 6018. First we will calculate the prime factors of 6013 and 6018.
Prime Factorization of 6013
| 7 | 6013 |
| 859 | 859 |
| 1 |
Prime factors of 6013 are 7,859. Prime factorization of 6013 in exponential form is:
6013 = 71×8591
Prime Factorization of 6018
| 2 | 6018 |
| 3 | 3009 |
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 6018 are 2, 3, 17,59. Prime factorization of 6018 in exponential form is:
6018 = 21×31×171×591
Now multiplying the highest exponent prime factors to calculate the LCM of 6013 and 6018.
LCM(6013,6018) = 21×31×71×171×591×8591
LCM(6013,6018) = 36186234
Factors of 6013
List of positive integer factors of 6013 that divides 6013 without a remainder.
1, 7, 859, 6013
Factors of 6018
List of positive integer factors of 6018 that divides 6018 without a remainder.
1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018
Least Common Multiple of 6013 and 6018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6013 and 6018, than apply into the LCM equation.
GCF(6013,6018) = 1
LCM(6013,6018) = ( 6013 × 6018) / 1
LCM(6013,6018) = 36186234 / 1
LCM(6013,6018) = 36186234
Properties of LCM 6013 and 6018
(i) The LCM of 6018 and 6013 is associative
LCM of 6013 and 6018 = LCM of 6018 and 6013
Related Least Common Multiples of 6013
Related Least Common Multiples of 6018
Frequently Asked Questions on LCM of 6013 and 6018
1. What is the LCM of 6013 and 6018?
Answer: LCM of 6013 and 6018 is 36186234.
2. What are the Factors of 6013?
Answer: Factors of 6013 are 1, 7, 859, 6013. There are 4 integers that are factors of 6013. The greatest factor of 6013 is 6013.
3. What are the Factors of 6018?
Answer: Factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018. There are 16 integers that are factors of 6018. The greatest factor of 6018 is 6018.
4. How to Find the LCM of 6013 and 6018?
Answer:
Least Common Multiple of 6013 and 6018 = 36186234
Step 1: Find the prime factorization of 6013
6013 = 7 x 859
Step 2: Find the prime factorization of 6018
6018 = 2 x 3 x 17 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36186234 = 2 x 3 x 7 x 17 x 59 x 859
Step 4: Therefore, the least common multiple of 6013 and 6018 is 36186234.