Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6017 and 6021 the smallest integer that is 36228357 that is divisible by both numbers.
Least Common Multiple (LCM) of 6017 and 6021 is 36228357.
LCM(6017,6021) = 36228357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6021. First we will calculate the prime factors of 6017 and 6021.
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
Prime Factorization of 6021
3 | 6021 |
3 | 2007 |
3 | 669 |
223 | 223 |
1 |
Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:
6021 = 33×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6021.
LCM(6017,6021) = 33×111×2231×5471
LCM(6017,6021) = 36228357
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1, 11, 547, 6017
Factors of 6021
List of positive integer factors of 6021 that divides 6021 without a remainder.
1, 3, 9, 27, 223, 669, 2007, 6021
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6017 and 6021, than apply into the LCM equation.
GCF(6017,6021) = 1
LCM(6017,6021) = ( 6017 × 6021) / 1
LCM(6017,6021) = 36228357 / 1
LCM(6017,6021) = 36228357
(i) The LCM of 6021 and 6017 is associative
LCM of 6017 and 6021 = LCM of 6021 and 6017
1. What is the LCM of 6017 and 6021?
Answer: LCM of 6017 and 6021 is 36228357.
2. 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.
3. What are the Factors of 6021?
Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.
4. How to Find the LCM of 6017 and 6021?
Answer:
Least Common Multiple of 6017 and 6021 = 36228357
Step 1: Find the prime factorization of 6017
6017 = 11 x 547
Step 2: Find the prime factorization of 6021
6021 = 3 x 3 x 3 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36228357 = 3 x 3 x 3 x 11 x 223 x 547
Step 4: Therefore, the least common multiple of 6017 and 6021 is 36228357.