Least Common Multiple of 3071 and 3077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3071 and 3077 the smallest integer that is 9449467 that is divisible by both numbers.
Least Common Multiple (LCM) of 3071 and 3077 is 9449467.
LCM(3071,3077) = 9449467
LCM of 3071 and 3077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3071 and 3077 by Prime method
- Least Common Multiple of 3071 and 3077 with GCF Formula
LCM of 3071 and 3077 is 9449467
Least common multiple can be found by multiplying the highest exponent prime factors of 3071 and 3077. First we will calculate the prime factors of 3071 and 3077.
Prime Factorization of 3071
| 37 | 3071 |
| 83 | 83 |
| 1 |
Prime factors of 3071 are 37,83. Prime factorization of 3071 in exponential form is:
3071 = 371×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3071 and 3077.
LCM(3071,3077) = 171×371×831×1811
LCM(3071,3077) = 9449467
Factors of 3071
List of positive integer factors of 3071 that divides 3071 without a remainder.
1, 37, 83, 3071
Factors of 3077
List of positive integer factors of 3077 that divides 3077 without a remainder.
1, 17, 181, 3077
Least Common Multiple of 3071 and 3077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3071 and 3077, than apply into the LCM equation.
GCF(3071,3077) = 1
LCM(3071,3077) = ( 3071 × 3077) / 1
LCM(3071,3077) = 9449467 / 1
LCM(3071,3077) = 9449467
Properties of LCM 3071 and 3077
(i) The LCM of 3077 and 3071 is associative
LCM of 3071 and 3077 = LCM of 3077 and 3071
Related Least Common Multiples of 3071
Related Least Common Multiples of 3077
Frequently Asked Questions on LCM of 3071 and 3077
1. What is the LCM of 3071 and 3077?
Answer: LCM of 3071 and 3077 is 9449467.
2. What are the Factors of 3071?
Answer: Factors of 3071 are 1, 37, 83, 3071. There are 4 integers that are factors of 3071. The greatest factor of 3071 is 3071.
3. 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.
4. How to Find the LCM of 3071 and 3077?
Answer:
Least Common Multiple of 3071 and 3077 = 9449467
Step 1: Find the prime factorization of 3071
3071 = 37 x 83
Step 2: Find the prime factorization of 3077
3077 = 17 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9449467 = 17 x 37 x 83 x 181
Step 4: Therefore, the least common multiple of 3071 and 3077 is 9449467.