Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1018 and 1022 the smallest integer that is 520198 that is divisible by both numbers.
Least Common Multiple (LCM) of 1018 and 1022 is 520198.
LCM(1018,1022) = 520198
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 1018 and 1022. First we will calculate the prime factors of 1018 and 1022.
Prime Factorization of 1018
2 | 1018 |
509 | 509 |
1 |
Prime factors of 1018 are 2,509. Prime factorization of 1018 in exponential form is:
1018 = 21×5091
Prime Factorization of 1022
2 | 1022 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 1022 are 2, 7,73. Prime factorization of 1022 in exponential form is:
1022 = 21×71×731
Now multiplying the highest exponent prime factors to calculate the LCM of 1018 and 1022.
LCM(1018,1022) = 21×71×731×5091
LCM(1018,1022) = 520198
Factors of 1018
List of positive integer factors of 1018 that divides 1018 without a remainder.
1, 2, 509, 1018
Factors of 1022
List of positive integer factors of 1022 that divides 1022 without a remainder.
1, 2, 7, 14, 73, 146, 511, 1022
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1018 and 1022, than apply into the LCM equation.
GCF(1018,1022) = 2
LCM(1018,1022) = ( 1018 × 1022) / 2
LCM(1018,1022) = 1040396 / 2
LCM(1018,1022) = 520198
(i) The LCM of 1022 and 1018 is associative
LCM of 1018 and 1022 = LCM of 1022 and 1018
1. What is the LCM of 1018 and 1022?
Answer: LCM of 1018 and 1022 is 520198.
2. What are the Factors of 1018?
Answer: Factors of 1018 are 1, 2, 509, 1018. There are 4 integers that are factors of 1018. The greatest factor of 1018 is 1018.
3. What are the Factors of 1022?
Answer: Factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. There are 8 integers that are factors of 1022. The greatest factor of 1022 is 1022.
4. How to Find the LCM of 1018 and 1022?
Answer:
Least Common Multiple of 1018 and 1022 = 520198
Step 1: Find the prime factorization of 1018
1018 = 2 x 509
Step 2: Find the prime factorization of 1022
1022 = 2 x 7 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 520198 = 2 x 7 x 73 x 509
Step 4: Therefore, the least common multiple of 1018 and 1022 is 520198.