Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4036 and 4043 the smallest integer that is 16317548 that is divisible by both numbers.
Least Common Multiple (LCM) of 4036 and 4043 is 16317548.
LCM(4036,4043) = 16317548
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 4036 and 4043. First we will calculate the prime factors of 4036 and 4043.
Prime Factorization of 4036
2 | 4036 |
2 | 2018 |
1009 | 1009 |
1 |
Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:
4036 = 22×10091
Prime Factorization of 4043
13 | 4043 |
311 | 311 |
1 |
Prime factors of 4043 are 13,311. Prime factorization of 4043 in exponential form is:
4043 = 131×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 4036 and 4043.
LCM(4036,4043) = 22×131×3111×10091
LCM(4036,4043) = 16317548
Factors of 4036
List of positive integer factors of 4036 that divides 4036 without a remainder.
1, 2, 4, 1009, 2018, 4036
Factors of 4043
List of positive integer factors of 4043 that divides 4043 without a remainder.
1, 13, 311, 4043
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4036 and 4043, than apply into the LCM equation.
GCF(4036,4043) = 1
LCM(4036,4043) = ( 4036 × 4043) / 1
LCM(4036,4043) = 16317548 / 1
LCM(4036,4043) = 16317548
(i) The LCM of 4043 and 4036 is associative
LCM of 4036 and 4043 = LCM of 4043 and 4036
1. What is the LCM of 4036 and 4043?
Answer: LCM of 4036 and 4043 is 16317548.
2. What are the Factors of 4036?
Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.
3. What are the Factors of 4043?
Answer: Factors of 4043 are 1, 13, 311, 4043. There are 4 integers that are factors of 4043. The greatest factor of 4043 is 4043.
4. How to Find the LCM of 4036 and 4043?
Answer:
Least Common Multiple of 4036 and 4043 = 16317548
Step 1: Find the prime factorization of 4036
4036 = 2 x 2 x 1009
Step 2: Find the prime factorization of 4043
4043 = 13 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16317548 = 2 x 2 x 13 x 311 x 1009
Step 4: Therefore, the least common multiple of 4036 and 4043 is 16317548.