Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4038 and 4042 the smallest integer that is 8160798 that is divisible by both numbers.
Least Common Multiple (LCM) of 4038 and 4042 is 8160798.
LCM(4038,4042) = 8160798
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 4038 and 4042. First we will calculate the prime factors of 4038 and 4042.
Prime Factorization of 4038
2 | 4038 |
3 | 2019 |
673 | 673 |
1 |
Prime factors of 4038 are 2, 3,673. Prime factorization of 4038 in exponential form is:
4038 = 21×31×6731
Prime Factorization of 4042
2 | 4042 |
43 | 2021 |
47 | 47 |
1 |
Prime factors of 4042 are 2, 43,47. Prime factorization of 4042 in exponential form is:
4042 = 21×431×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4038 and 4042.
LCM(4038,4042) = 21×31×431×471×6731
LCM(4038,4042) = 8160798
Factors of 4038
List of positive integer factors of 4038 that divides 4038 without a remainder.
1, 2, 3, 6, 673, 1346, 2019, 4038
Factors of 4042
List of positive integer factors of 4042 that divides 4042 without a remainder.
1, 2, 43, 47, 86, 94, 2021, 4042
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4038 and 4042, than apply into the LCM equation.
GCF(4038,4042) = 2
LCM(4038,4042) = ( 4038 × 4042) / 2
LCM(4038,4042) = 16321596 / 2
LCM(4038,4042) = 8160798
(i) The LCM of 4042 and 4038 is associative
LCM of 4038 and 4042 = LCM of 4042 and 4038
1. What is the LCM of 4038 and 4042?
Answer: LCM of 4038 and 4042 is 8160798.
2. What are the Factors of 4038?
Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.
3. What are the Factors of 4042?
Answer: Factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042. There are 8 integers that are factors of 4042. The greatest factor of 4042 is 4042.
4. How to Find the LCM of 4038 and 4042?
Answer:
Least Common Multiple of 4038 and 4042 = 8160798
Step 1: Find the prime factorization of 4038
4038 = 2 x 3 x 673
Step 2: Find the prime factorization of 4042
4042 = 2 x 43 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8160798 = 2 x 3 x 43 x 47 x 673
Step 4: Therefore, the least common multiple of 4038 and 4042 is 8160798.