Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8018 and 8025 the smallest integer that is 64344450 that is divisible by both numbers.
Least Common Multiple (LCM) of 8018 and 8025 is 64344450.
LCM(8018,8025) = 64344450
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 8018 and 8025. First we will calculate the prime factors of 8018 and 8025.
Prime Factorization of 8018
2 | 8018 |
19 | 4009 |
211 | 211 |
1 |
Prime factors of 8018 are 2, 19,211. Prime factorization of 8018 in exponential form is:
8018 = 21×191×2111
Prime Factorization of 8025
3 | 8025 |
5 | 2675 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 8025 are 3, 5,107. Prime factorization of 8025 in exponential form is:
8025 = 31×52×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 8018 and 8025.
LCM(8018,8025) = 21×31×52×191×1071×2111
LCM(8018,8025) = 64344450
Factors of 8018
List of positive integer factors of 8018 that divides 8018 without a remainder.
1, 2, 19, 38, 211, 422, 4009, 8018
Factors of 8025
List of positive integer factors of 8025 that divides 8025 without a remainder.
1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8018 and 8025, than apply into the LCM equation.
GCF(8018,8025) = 1
LCM(8018,8025) = ( 8018 × 8025) / 1
LCM(8018,8025) = 64344450 / 1
LCM(8018,8025) = 64344450
(i) The LCM of 8025 and 8018 is associative
LCM of 8018 and 8025 = LCM of 8025 and 8018
1. What is the LCM of 8018 and 8025?
Answer: LCM of 8018 and 8025 is 64344450.
2. What are the Factors of 8018?
Answer: Factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018. There are 8 integers that are factors of 8018. The greatest factor of 8018 is 8018.
3. What are the Factors of 8025?
Answer: Factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025. There are 12 integers that are factors of 8025. The greatest factor of 8025 is 8025.
4. How to Find the LCM of 8018 and 8025?
Answer:
Least Common Multiple of 8018 and 8025 = 64344450
Step 1: Find the prime factorization of 8018
8018 = 2 x 19 x 211
Step 2: Find the prime factorization of 8025
8025 = 3 x 5 x 5 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64344450 = 2 x 3 x 5 x 5 x 19 x 107 x 211
Step 4: Therefore, the least common multiple of 8018 and 8025 is 64344450.