Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7039 and 7044 the smallest integer that is 49582716 that is divisible by both numbers.
Least Common Multiple (LCM) of 7039 and 7044 is 49582716.
LCM(7039,7044) = 49582716
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 7039 and 7044. First we will calculate the prime factors of 7039 and 7044.
Prime Factorization of 7039
7039 | 7039 |
1 |
Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:
7039 = 70391
Prime Factorization of 7044
2 | 7044 |
2 | 3522 |
3 | 1761 |
587 | 587 |
1 |
Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:
7044 = 22×31×5871
Now multiplying the highest exponent prime factors to calculate the LCM of 7039 and 7044.
LCM(7039,7044) = 22×31×5871×70391
LCM(7039,7044) = 49582716
Factors of 7039
List of positive integer factors of 7039 that divides 7039 without a remainder.
1, 7039
Factors of 7044
List of positive integer factors of 7044 that divides 7044 without a remainder.
1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7039 and 7044, than apply into the LCM equation.
GCF(7039,7044) = 1
LCM(7039,7044) = ( 7039 × 7044) / 1
LCM(7039,7044) = 49582716 / 1
LCM(7039,7044) = 49582716
(i) The LCM of 7044 and 7039 is associative
LCM of 7039 and 7044 = LCM of 7044 and 7039
1. What is the LCM of 7039 and 7044?
Answer: LCM of 7039 and 7044 is 49582716.
2. What are the Factors of 7039?
Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.
3. What are the Factors of 7044?
Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.
4. How to Find the LCM of 7039 and 7044?
Answer:
Least Common Multiple of 7039 and 7044 = 49582716
Step 1: Find the prime factorization of 7039
7039 = 7039
Step 2: Find the prime factorization of 7044
7044 = 2 x 2 x 3 x 587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49582716 = 2 x 2 x 3 x 587 x 7039
Step 4: Therefore, the least common multiple of 7039 and 7044 is 49582716.