Least Common Multiple of 3077 and 3082
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3077 and 3082 the smallest integer that is 9483314 that is divisible by both numbers.
Least Common Multiple (LCM) of 3077 and 3082 is 9483314.
LCM(3077,3082) = 9483314
LCM of 3077 and 3082
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3077 and 3082 by Prime method
- Least Common Multiple of 3077 and 3082 with GCF Formula
LCM of 3077 and 3082 is 9483314
Least common multiple can be found by multiplying the highest exponent prime factors of 3077 and 3082. First we will calculate the prime factors of 3077 and 3082.
Prime Factorization of 3077
| 17 | 3077 |
| 181 | 181 |
| 1 |
Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:
3077 = 171×1811
Prime Factorization of 3082
| 2 | 3082 |
| 23 | 1541 |
| 67 | 67 |
| 1 |
Prime factors of 3082 are 2, 23,67. Prime factorization of 3082 in exponential form is:
3082 = 21×231×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3077 and 3082.
LCM(3077,3082) = 21×171×231×671×1811
LCM(3077,3082) = 9483314
Factors of 3077
List of positive integer factors of 3077 that divides 3077 without a remainder.
1, 17, 181, 3077
Factors of 3082
List of positive integer factors of 3082 that divides 3082 without a remainder.
1, 2, 23, 46, 67, 134, 1541, 3082
Least Common Multiple of 3077 and 3082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3077 and 3082, than apply into the LCM equation.
GCF(3077,3082) = 1
LCM(3077,3082) = ( 3077 × 3082) / 1
LCM(3077,3082) = 9483314 / 1
LCM(3077,3082) = 9483314
Properties of LCM 3077 and 3082
(i) The LCM of 3082 and 3077 is associative
LCM of 3077 and 3082 = LCM of 3082 and 3077
Related Least Common Multiples of 3077
Related Least Common Multiples of 3082
Frequently Asked Questions on LCM of 3077 and 3082
1. What is the LCM of 3077 and 3082?
Answer: LCM of 3077 and 3082 is 9483314.
2. What are the Factors of 3077?
Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.
3. What are the Factors of 3082?
Answer: Factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082. There are 8 integers that are factors of 3082. The greatest factor of 3082 is 3082.
4. How to Find the LCM of 3077 and 3082?
Answer:
Least Common Multiple of 3077 and 3082 = 9483314
Step 1: Find the prime factorization of 3077
3077 = 17 x 181
Step 2: Find the prime factorization of 3082
3082 = 2 x 23 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9483314 = 2 x 17 x 23 x 67 x 181
Step 4: Therefore, the least common multiple of 3077 and 3082 is 9483314.