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 8024 the smallest integer that is 32168216 that is divisible by both numbers.
Least Common Multiple (LCM) of 8018 and 8024 is 32168216.
LCM(8018,8024) = 32168216
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 8024. First we will calculate the prime factors of 8018 and 8024.
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 8024
2 | 8024 |
2 | 4012 |
2 | 2006 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 8024 are 2, 17,59. Prime factorization of 8024 in exponential form is:
8024 = 23×171×591
Now multiplying the highest exponent prime factors to calculate the LCM of 8018 and 8024.
LCM(8018,8024) = 23×171×191×591×2111
LCM(8018,8024) = 32168216
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 8024
List of positive integer factors of 8024 that divides 8024 without a remainder.
1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8018 and 8024, than apply into the LCM equation.
GCF(8018,8024) = 2
LCM(8018,8024) = ( 8018 × 8024) / 2
LCM(8018,8024) = 64336432 / 2
LCM(8018,8024) = 32168216
(i) The LCM of 8024 and 8018 is associative
LCM of 8018 and 8024 = LCM of 8024 and 8018
1. What is the LCM of 8018 and 8024?
Answer: LCM of 8018 and 8024 is 32168216.
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 8024?
Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.
4. How to Find the LCM of 8018 and 8024?
Answer:
Least Common Multiple of 8018 and 8024 = 32168216
Step 1: Find the prime factorization of 8018
8018 = 2 x 19 x 211
Step 2: Find the prime factorization of 8024
8024 = 2 x 2 x 2 x 17 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32168216 = 2 x 2 x 2 x 17 x 19 x 59 x 211
Step 4: Therefore, the least common multiple of 8018 and 8024 is 32168216.