Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6018 and 6022 the smallest integer that is 18120198 that is divisible by both numbers.
Least Common Multiple (LCM) of 6018 and 6022 is 18120198.
LCM(6018,6022) = 18120198
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 6018 and 6022. First we will calculate the prime factors of 6018 and 6022.
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
Prime Factorization of 6022
2 | 6022 |
3011 | 3011 |
1 |
Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:
6022 = 21×30111
Now multiplying the highest exponent prime factors to calculate the LCM of 6018 and 6022.
LCM(6018,6022) = 21×31×171×591×30111
LCM(6018,6022) = 18120198
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
Factors of 6022
List of positive integer factors of 6022 that divides 6022 without a remainder.
1, 2, 3011, 6022
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6018 and 6022, than apply into the LCM equation.
GCF(6018,6022) = 2
LCM(6018,6022) = ( 6018 × 6022) / 2
LCM(6018,6022) = 36240396 / 2
LCM(6018,6022) = 18120198
(i) The LCM of 6022 and 6018 is associative
LCM of 6018 and 6022 = LCM of 6022 and 6018
1. What is the LCM of 6018 and 6022?
Answer: LCM of 6018 and 6022 is 18120198.
2. 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.
3. What are the Factors of 6022?
Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.
4. How to Find the LCM of 6018 and 6022?
Answer:
Least Common Multiple of 6018 and 6022 = 18120198
Step 1: Find the prime factorization of 6018
6018 = 2 x 3 x 17 x 59
Step 2: Find the prime factorization of 6022
6022 = 2 x 3011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18120198 = 2 x 3 x 17 x 59 x 3011
Step 4: Therefore, the least common multiple of 6018 and 6022 is 18120198.