Least Common Multiple of 8022 and 8027
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 8027 the smallest integer that is 64392594 that is divisible by both numbers.
Least Common Multiple (LCM) of 8022 and 8027 is 64392594.
LCM(8022,8027) = 64392594
LCM of 8022 and 8027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8022 and 8027 by Prime method
- Least Common Multiple of 8022 and 8027 with GCF Formula
LCM of 8022 and 8027 is 64392594
Least common multiple can be found by multiplying the highest exponent prime factors of 8022 and 8027. First we will calculate the prime factors of 8022 and 8027.
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 8027
| 23 | 8027 |
| 349 | 349 |
| 1 |
Prime factors of 8027 are 23,349. Prime factorization of 8027 in exponential form is:
8027 = 231×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 8022 and 8027.
LCM(8022,8027) = 21×31×71×231×1911×3491
LCM(8022,8027) = 64392594
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 8027
List of positive integer factors of 8027 that divides 8027 without a remainder.
1, 23, 349, 8027
Least Common Multiple of 8022 and 8027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8022 and 8027, than apply into the LCM equation.
GCF(8022,8027) = 1
LCM(8022,8027) = ( 8022 × 8027) / 1
LCM(8022,8027) = 64392594 / 1
LCM(8022,8027) = 64392594
Properties of LCM 8022 and 8027
(i) The LCM of 8027 and 8022 is associative
LCM of 8022 and 8027 = LCM of 8027 and 8022
Related Least Common Multiples of 8022
Related Least Common Multiples of 8027
Frequently Asked Questions on LCM of 8022 and 8027
1. What is the LCM of 8022 and 8027?
Answer: LCM of 8022 and 8027 is 64392594.
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 8027?
Answer: Factors of 8027 are 1, 23, 349, 8027. There are 4 integers that are factors of 8027. The greatest factor of 8027 is 8027.
4. How to Find the LCM of 8022 and 8027?
Answer:
Least Common Multiple of 8022 and 8027 = 64392594
Step 1: Find the prime factorization of 8022
8022 = 2 x 3 x 7 x 191
Step 2: Find the prime factorization of 8027
8027 = 23 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64392594 = 2 x 3 x 7 x 23 x 191 x 349
Step 4: Therefore, the least common multiple of 8022 and 8027 is 64392594.