Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4030 and 4038 the smallest integer that is 8136570 that is divisible by both numbers.
Least Common Multiple (LCM) of 4030 and 4038 is 8136570.
LCM(4030,4038) = 8136570
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 4030 and 4038. First we will calculate the prime factors of 4030 and 4038.
Prime Factorization of 4030
2 | 4030 |
5 | 2015 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:
4030 = 21×51×131×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4030 and 4038.
LCM(4030,4038) = 21×31×51×131×311×6731
LCM(4030,4038) = 8136570
Factors of 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
Factors of 4038
List of positive integer factors of 4038 that divides 4038 without a remainder.
1, 2, 3, 6, 673, 1346, 2019, 4038
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4030 and 4038, than apply into the LCM equation.
GCF(4030,4038) = 2
LCM(4030,4038) = ( 4030 × 4038) / 2
LCM(4030,4038) = 16273140 / 2
LCM(4030,4038) = 8136570
(i) The LCM of 4038 and 4030 is associative
LCM of 4030 and 4038 = LCM of 4038 and 4030
1. What is the LCM of 4030 and 4038?
Answer: LCM of 4030 and 4038 is 8136570.
2. What are the Factors of 4030?
Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.
3. 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.
4. How to Find the LCM of 4030 and 4038?
Answer:
Least Common Multiple of 4030 and 4038 = 8136570
Step 1: Find the prime factorization of 4030
4030 = 2 x 5 x 13 x 31
Step 2: Find the prime factorization of 4038
4038 = 2 x 3 x 673
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8136570 = 2 x 3 x 5 x 13 x 31 x 673
Step 4: Therefore, the least common multiple of 4030 and 4038 is 8136570.