Least Common Multiple of 3069 and 3073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3069 and 3073 the smallest integer that is 9431037 that is divisible by both numbers.
Least Common Multiple (LCM) of 3069 and 3073 is 9431037.
LCM(3069,3073) = 9431037
LCM of 3069 and 3073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3069 and 3073 by Prime method
- Least Common Multiple of 3069 and 3073 with GCF Formula
LCM of 3069 and 3073 is 9431037
Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3073. First we will calculate the prime factors of 3069 and 3073.
Prime Factorization of 3069
| 3 | 3069 |
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 3069 are 3, 11,31. Prime factorization of 3069 in exponential form is:
3069 = 32×111×311
Prime Factorization of 3073
| 7 | 3073 |
| 439 | 439 |
| 1 |
Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:
3073 = 71×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3073.
LCM(3069,3073) = 32×71×111×311×4391
LCM(3069,3073) = 9431037
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
Factors of 3073
List of positive integer factors of 3073 that divides 3073 without a remainder.
1, 7, 439, 3073
Least Common Multiple of 3069 and 3073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3073, than apply into the LCM equation.
GCF(3069,3073) = 1
LCM(3069,3073) = ( 3069 × 3073) / 1
LCM(3069,3073) = 9431037 / 1
LCM(3069,3073) = 9431037
Properties of LCM 3069 and 3073
(i) The LCM of 3073 and 3069 is associative
LCM of 3069 and 3073 = LCM of 3073 and 3069
Related Least Common Multiples of 3069
Related Least Common Multiples of 3073
Frequently Asked Questions on LCM of 3069 and 3073
1. What is the LCM of 3069 and 3073?
Answer: LCM of 3069 and 3073 is 9431037.
2. What are the Factors of 3069?
Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.
3. What are the Factors of 3073?
Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.
4. How to Find the LCM of 3069 and 3073?
Answer:
Least Common Multiple of 3069 and 3073 = 9431037
Step 1: Find the prime factorization of 3069
3069 = 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 3073
3073 = 7 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9431037 = 3 x 3 x 7 x 11 x 31 x 439
Step 4: Therefore, the least common multiple of 3069 and 3073 is 9431037.