Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3045 and 3049 the smallest integer that is 9284205 that is divisible by both numbers.
Least Common Multiple (LCM) of 3045 and 3049 is 9284205.
LCM(3045,3049) = 9284205
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 3045 and 3049. First we will calculate the prime factors of 3045 and 3049.
Prime Factorization of 3045
3 | 3045 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 3045 are 3, 5, 7,29. Prime factorization of 3045 in exponential form is:
3045 = 31×51×71×291
Prime Factorization of 3049
3049 | 3049 |
1 |
Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:
3049 = 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 3045 and 3049.
LCM(3045,3049) = 31×51×71×291×30491
LCM(3045,3049) = 9284205
Factors of 3045
List of positive integer factors of 3045 that divides 3045 without a remainder.
1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
Factors of 3049
List of positive integer factors of 3049 that divides 3049 without a remainder.
1, 3049
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3045 and 3049, than apply into the LCM equation.
GCF(3045,3049) = 1
LCM(3045,3049) = ( 3045 × 3049) / 1
LCM(3045,3049) = 9284205 / 1
LCM(3045,3049) = 9284205
(i) The LCM of 3049 and 3045 is associative
LCM of 3045 and 3049 = LCM of 3049 and 3045
1. What is the LCM of 3045 and 3049?
Answer: LCM of 3045 and 3049 is 9284205.
2. What are the Factors of 3045?
Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.
3. What are the Factors of 3049?
Answer: Factors of 3049 are 1, 3049. There are 2 integers that are factors of 3049. The greatest factor of 3049 is 3049.
4. How to Find the LCM of 3045 and 3049?
Answer:
Least Common Multiple of 3045 and 3049 = 9284205
Step 1: Find the prime factorization of 3045
3045 = 3 x 5 x 7 x 29
Step 2: Find the prime factorization of 3049
3049 = 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9284205 = 3 x 5 x 7 x 29 x 3049
Step 4: Therefore, the least common multiple of 3045 and 3049 is 9284205.