Least Common Multiple of 8023 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 8023 and 8027 the smallest integer that is 64400621 that is divisible by both numbers.
Least Common Multiple (LCM) of 8023 and 8027 is 64400621.
LCM(8023,8027) = 64400621
LCM of 8023 and 8027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8023 and 8027 by Prime method
- Least Common Multiple of 8023 and 8027 with GCF Formula
LCM of 8023 and 8027 is 64400621
Least common multiple can be found by multiplying the highest exponent prime factors of 8023 and 8027. First we will calculate the prime factors of 8023 and 8027.
Prime Factorization of 8023
| 71 | 8023 |
| 113 | 113 |
| 1 |
Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:
8023 = 711×1131
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 8023 and 8027.
LCM(8023,8027) = 231×711×1131×3491
LCM(8023,8027) = 64400621
Factors of 8023
List of positive integer factors of 8023 that divides 8023 without a remainder.
1, 71, 113, 8023
Factors of 8027
List of positive integer factors of 8027 that divides 8027 without a remainder.
1, 23, 349, 8027
Least Common Multiple of 8023 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 8023 and 8027, than apply into the LCM equation.
GCF(8023,8027) = 1
LCM(8023,8027) = ( 8023 × 8027) / 1
LCM(8023,8027) = 64400621 / 1
LCM(8023,8027) = 64400621
Properties of LCM 8023 and 8027
(i) The LCM of 8027 and 8023 is associative
LCM of 8023 and 8027 = LCM of 8027 and 8023
Related Least Common Multiples of 8023
Related Least Common Multiples of 8027
Frequently Asked Questions on LCM of 8023 and 8027
1. What is the LCM of 8023 and 8027?
Answer: LCM of 8023 and 8027 is 64400621.
2. What are the Factors of 8023?
Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.
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 8023 and 8027?
Answer:
Least Common Multiple of 8023 and 8027 = 64400621
Step 1: Find the prime factorization of 8023
8023 = 71 x 113
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 = 64400621 = 23 x 71 x 113 x 349
Step 4: Therefore, the least common multiple of 8023 and 8027 is 64400621.