Least Common Multiple of 8027 and 8034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8027 and 8034 the smallest integer that is 64488918 that is divisible by both numbers.
Least Common Multiple (LCM) of 8027 and 8034 is 64488918.
LCM(8027,8034) = 64488918
LCM of 8027 and 8034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8027 and 8034 by Prime method
- Least Common Multiple of 8027 and 8034 with GCF Formula
LCM of 8027 and 8034 is 64488918
Least common multiple can be found by multiplying the highest exponent prime factors of 8027 and 8034. First we will calculate the prime factors of 8027 and 8034.
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
Prime Factorization of 8034
| 2 | 8034 |
| 3 | 4017 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 8034 are 2, 3, 13,103. Prime factorization of 8034 in exponential form is:
8034 = 21×31×131×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8027 and 8034.
LCM(8027,8034) = 21×31×131×231×1031×3491
LCM(8027,8034) = 64488918
Factors of 8027
List of positive integer factors of 8027 that divides 8027 without a remainder.
1, 23, 349, 8027
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
Least Common Multiple of 8027 and 8034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8027 and 8034, than apply into the LCM equation.
GCF(8027,8034) = 1
LCM(8027,8034) = ( 8027 × 8034) / 1
LCM(8027,8034) = 64488918 / 1
LCM(8027,8034) = 64488918
Properties of LCM 8027 and 8034
(i) The LCM of 8034 and 8027 is associative
LCM of 8027 and 8034 = LCM of 8034 and 8027
Related Least Common Multiples of 8027
Related Least Common Multiples of 8034
Frequently Asked Questions on LCM of 8027 and 8034
1. What is the LCM of 8027 and 8034?
Answer: LCM of 8027 and 8034 is 64488918.
2. 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.
3. What are the Factors of 8034?
Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.
4. How to Find the LCM of 8027 and 8034?
Answer:
Least Common Multiple of 8027 and 8034 = 64488918
Step 1: Find the prime factorization of 8027
8027 = 23 x 349
Step 2: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64488918 = 2 x 3 x 13 x 23 x 103 x 349
Step 4: Therefore, the least common multiple of 8027 and 8034 is 64488918.