Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4012 and 4018 the smallest integer that is 8060108 that is divisible by both numbers.
Least Common Multiple (LCM) of 4012 and 4018 is 8060108.
LCM(4012,4018) = 8060108
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 4012 and 4018. First we will calculate the prime factors of 4012 and 4018.
Prime Factorization of 4012
2 | 4012 |
2 | 2006 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 4012 are 2, 17,59. Prime factorization of 4012 in exponential form is:
4012 = 22×171×591
Prime Factorization of 4018
2 | 4018 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 4018 are 2, 7,41. Prime factorization of 4018 in exponential form is:
4018 = 21×72×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4012 and 4018.
LCM(4012,4018) = 22×72×171×411×591
LCM(4012,4018) = 8060108
Factors of 4012
List of positive integer factors of 4012 that divides 4012 without a remainder.
1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012
Factors of 4018
List of positive integer factors of 4018 that divides 4018 without a remainder.
1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4012 and 4018, than apply into the LCM equation.
GCF(4012,4018) = 2
LCM(4012,4018) = ( 4012 × 4018) / 2
LCM(4012,4018) = 16120216 / 2
LCM(4012,4018) = 8060108
(i) The LCM of 4018 and 4012 is associative
LCM of 4012 and 4018 = LCM of 4018 and 4012
1. What is the LCM of 4012 and 4018?
Answer: LCM of 4012 and 4018 is 8060108.
2. What are the Factors of 4012?
Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.
3. What are the Factors of 4018?
Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.
4. How to Find the LCM of 4012 and 4018?
Answer:
Least Common Multiple of 4012 and 4018 = 8060108
Step 1: Find the prime factorization of 4012
4012 = 2 x 2 x 17 x 59
Step 2: Find the prime factorization of 4018
4018 = 2 x 7 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8060108 = 2 x 2 x 7 x 7 x 17 x 41 x 59
Step 4: Therefore, the least common multiple of 4012 and 4018 is 8060108.