Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8022 and 8026 the smallest integer that is 32192286 that is divisible by both numbers.
Least Common Multiple (LCM) of 8022 and 8026 is 32192286.
LCM(8022,8026) = 32192286
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 8022 and 8026. First we will calculate the prime factors of 8022 and 8026.
Prime Factorization of 8022
2 | 8022 |
3 | 4011 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 8022 are 2, 3, 7,191. Prime factorization of 8022 in exponential form is:
8022 = 21×31×71×1911
Prime Factorization of 8026
2 | 8026 |
4013 | 4013 |
1 |
Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:
8026 = 21×40131
Now multiplying the highest exponent prime factors to calculate the LCM of 8022 and 8026.
LCM(8022,8026) = 21×31×71×1911×40131
LCM(8022,8026) = 32192286
Factors of 8022
List of positive integer factors of 8022 that divides 8022 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
Factors of 8026
List of positive integer factors of 8026 that divides 8026 without a remainder.
1, 2, 4013, 8026
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8022 and 8026, than apply into the LCM equation.
GCF(8022,8026) = 2
LCM(8022,8026) = ( 8022 × 8026) / 2
LCM(8022,8026) = 64384572 / 2
LCM(8022,8026) = 32192286
(i) The LCM of 8026 and 8022 is associative
LCM of 8022 and 8026 = LCM of 8026 and 8022
1. What is the LCM of 8022 and 8026?
Answer: LCM of 8022 and 8026 is 32192286.
2. What are the Factors of 8022?
Answer: Factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022. There are 16 integers that are factors of 8022. The greatest factor of 8022 is 8022.
3. What are the Factors of 8026?
Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.
4. How to Find the LCM of 8022 and 8026?
Answer:
Least Common Multiple of 8022 and 8026 = 32192286
Step 1: Find the prime factorization of 8022
8022 = 2 x 3 x 7 x 191
Step 2: Find the prime factorization of 8026
8026 = 2 x 4013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32192286 = 2 x 3 x 7 x 191 x 4013
Step 4: Therefore, the least common multiple of 8022 and 8026 is 32192286.