Least Common Multiple of 6013 and 6017
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 6017 the smallest integer that is 36180221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6013 and 6017 is 36180221.
LCM(6013,6017) = 36180221
LCM of 6013 and 6017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6013 and 6017 by Prime method
- Least Common Multiple of 6013 and 6017 with GCF Formula
LCM of 6013 and 6017 is 36180221
Least common multiple can be found by multiplying the highest exponent prime factors of 6013 and 6017. First we will calculate the prime factors of 6013 and 6017.
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 6017
| 11 | 6017 |
| 547 | 547 |
| 1 |
Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:
6017 = 111×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 6013 and 6017.
LCM(6013,6017) = 71×111×5471×8591
LCM(6013,6017) = 36180221
Factors of 6013
List of positive integer factors of 6013 that divides 6013 without a remainder.
1, 7, 859, 6013
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1, 11, 547, 6017
Least Common Multiple of 6013 and 6017 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 6017, than apply into the LCM equation.
GCF(6013,6017) = 1
LCM(6013,6017) = ( 6013 × 6017) / 1
LCM(6013,6017) = 36180221 / 1
LCM(6013,6017) = 36180221
Properties of LCM 6013 and 6017
(i) The LCM of 6017 and 6013 is associative
LCM of 6013 and 6017 = LCM of 6017 and 6013
Related Least Common Multiples of 6013
Related Least Common Multiples of 6017
Frequently Asked Questions on LCM of 6013 and 6017
1. What is the LCM of 6013 and 6017?
Answer: LCM of 6013 and 6017 is 36180221.
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 6017?
Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.
4. How to Find the LCM of 6013 and 6017?
Answer:
Least Common Multiple of 6013 and 6017 = 36180221
Step 1: Find the prime factorization of 6013
6013 = 7 x 859
Step 2: Find the prime factorization of 6017
6017 = 11 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36180221 = 7 x 11 x 547 x 859
Step 4: Therefore, the least common multiple of 6013 and 6017 is 36180221.