Least Common Multiple of 3066 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 3066 and 3073 the smallest integer that is 1345974 that is divisible by both numbers.
Least Common Multiple (LCM) of 3066 and 3073 is 1345974.
LCM(3066,3073) = 1345974
LCM of 3066 and 3073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3066 and 3073 by Prime method
- Least Common Multiple of 3066 and 3073 with GCF Formula
LCM of 3066 and 3073 is 1345974
Least common multiple can be found by multiplying the highest exponent prime factors of 3066 and 3073. First we will calculate the prime factors of 3066 and 3073.
Prime Factorization of 3066
| 2 | 3066 |
| 3 | 1533 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 3066 are 2, 3, 7,73. Prime factorization of 3066 in exponential form is:
3066 = 21×31×71×731
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 3066 and 3073.
LCM(3066,3073) = 21×31×71×731×4391
LCM(3066,3073) = 1345974
Factors of 3066
List of positive integer factors of 3066 that divides 3066 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
Factors of 3073
List of positive integer factors of 3073 that divides 3073 without a remainder.
1, 7, 439, 3073
Least Common Multiple of 3066 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 3066 and 3073, than apply into the LCM equation.
GCF(3066,3073) = 7
LCM(3066,3073) = ( 3066 × 3073) / 7
LCM(3066,3073) = 9421818 / 7
LCM(3066,3073) = 1345974
Properties of LCM 3066 and 3073
(i) The LCM of 3073 and 3066 is associative
LCM of 3066 and 3073 = LCM of 3073 and 3066
Related Least Common Multiples of 3066
Related Least Common Multiples of 3073
Frequently Asked Questions on LCM of 3066 and 3073
1. What is the LCM of 3066 and 3073?
Answer: LCM of 3066 and 3073 is 1345974.
2. What are the Factors of 3066?
Answer: Factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066. There are 16 integers that are factors of 3066. The greatest factor of 3066 is 3066.
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 3066 and 3073?
Answer:
Least Common Multiple of 3066 and 3073 = 1345974
Step 1: Find the prime factorization of 3066
3066 = 2 x 3 x 7 x 73
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 = 1345974 = 2 x 3 x 7 x 73 x 439
Step 4: Therefore, the least common multiple of 3066 and 3073 is 1345974.