Least Common Multiple of 3045 and 3053
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 3053 the smallest integer that is 9296385 that is divisible by both numbers.
Least Common Multiple (LCM) of 3045 and 3053 is 9296385.
LCM(3045,3053) = 9296385
LCM of 3045 and 3053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3045 and 3053 by Prime method
- Least Common Multiple of 3045 and 3053 with GCF Formula
LCM of 3045 and 3053 is 9296385
Least common multiple can be found by multiplying the highest exponent prime factors of 3045 and 3053. First we will calculate the prime factors of 3045 and 3053.
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 3053
| 43 | 3053 |
| 71 | 71 |
| 1 |
Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:
3053 = 431×711
Now multiplying the highest exponent prime factors to calculate the LCM of 3045 and 3053.
LCM(3045,3053) = 31×51×71×291×431×711
LCM(3045,3053) = 9296385
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 3053
List of positive integer factors of 3053 that divides 3053 without a remainder.
1, 43, 71, 3053
Least Common Multiple of 3045 and 3053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3045 and 3053, than apply into the LCM equation.
GCF(3045,3053) = 1
LCM(3045,3053) = ( 3045 × 3053) / 1
LCM(3045,3053) = 9296385 / 1
LCM(3045,3053) = 9296385
Properties of LCM 3045 and 3053
(i) The LCM of 3053 and 3045 is associative
LCM of 3045 and 3053 = LCM of 3053 and 3045
Related Least Common Multiples of 3045
Related Least Common Multiples of 3053
Frequently Asked Questions on LCM of 3045 and 3053
1. What is the LCM of 3045 and 3053?
Answer: LCM of 3045 and 3053 is 9296385.
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 3053?
Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.
4. How to Find the LCM of 3045 and 3053?
Answer:
Least Common Multiple of 3045 and 3053 = 9296385
Step 1: Find the prime factorization of 3045
3045 = 3 x 5 x 7 x 29
Step 2: Find the prime factorization of 3053
3053 = 43 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9296385 = 3 x 5 x 7 x 29 x 43 x 71
Step 4: Therefore, the least common multiple of 3045 and 3053 is 9296385.