Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4022 and 4026 the smallest integer that is 8096286 that is divisible by both numbers.
Least Common Multiple (LCM) of 4022 and 4026 is 8096286.
LCM(4022,4026) = 8096286
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 4022 and 4026. First we will calculate the prime factors of 4022 and 4026.
Prime Factorization of 4022
2 | 4022 |
2011 | 2011 |
1 |
Prime factors of 4022 are 2,2011. Prime factorization of 4022 in exponential form is:
4022 = 21×20111
Prime Factorization of 4026
2 | 4026 |
3 | 2013 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:
4026 = 21×31×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 4022 and 4026.
LCM(4022,4026) = 21×31×111×611×20111
LCM(4022,4026) = 8096286
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1, 2, 2011, 4022
Factors of 4026
List of positive integer factors of 4026 that divides 4026 without a remainder.
1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4022 and 4026, than apply into the LCM equation.
GCF(4022,4026) = 2
LCM(4022,4026) = ( 4022 × 4026) / 2
LCM(4022,4026) = 16192572 / 2
LCM(4022,4026) = 8096286
(i) The LCM of 4026 and 4022 is associative
LCM of 4022 and 4026 = LCM of 4026 and 4022
1. What is the LCM of 4022 and 4026?
Answer: LCM of 4022 and 4026 is 8096286.
2. What are the Factors of 4022?
Answer: Factors of 4022 are 1, 2, 2011, 4022. There are 4 integers that are factors of 4022. The greatest factor of 4022 is 4022.
3. What are the Factors of 4026?
Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.
4. How to Find the LCM of 4022 and 4026?
Answer:
Least Common Multiple of 4022 and 4026 = 8096286
Step 1: Find the prime factorization of 4022
4022 = 2 x 2011
Step 2: Find the prime factorization of 4026
4026 = 2 x 3 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8096286 = 2 x 3 x 11 x 61 x 2011
Step 4: Therefore, the least common multiple of 4022 and 4026 is 8096286.