Least Common Multiple of 2067 and 2071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2067 and 2071 the smallest integer that is 4280757 that is divisible by both numbers.
Least Common Multiple (LCM) of 2067 and 2071 is 4280757.
LCM(2067,2071) = 4280757
LCM of 2067 and 2071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2067 and 2071 by Prime method
- Least Common Multiple of 2067 and 2071 with GCF Formula
LCM of 2067 and 2071 is 4280757
Least common multiple can be found by multiplying the highest exponent prime factors of 2067 and 2071. First we will calculate the prime factors of 2067 and 2071.
Prime Factorization of 2067
| 3 | 2067 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 2067 are 3, 13,53. Prime factorization of 2067 in exponential form is:
2067 = 31×131×531
Prime Factorization of 2071
| 19 | 2071 |
| 109 | 109 |
| 1 |
Prime factors of 2071 are 19,109. Prime factorization of 2071 in exponential form is:
2071 = 191×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2067 and 2071.
LCM(2067,2071) = 31×131×191×531×1091
LCM(2067,2071) = 4280757
Factors of 2067
List of positive integer factors of 2067 that divides 2067 without a remainder.
1, 3, 13, 39, 53, 159, 689, 2067
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1, 19, 109, 2071
Least Common Multiple of 2067 and 2071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2067 and 2071, than apply into the LCM equation.
GCF(2067,2071) = 1
LCM(2067,2071) = ( 2067 × 2071) / 1
LCM(2067,2071) = 4280757 / 1
LCM(2067,2071) = 4280757
Properties of LCM 2067 and 2071
(i) The LCM of 2071 and 2067 is associative
LCM of 2067 and 2071 = LCM of 2071 and 2067
Related Least Common Multiples of 2067
Related Least Common Multiples of 2071
Frequently Asked Questions on LCM of 2067 and 2071
1. What is the LCM of 2067 and 2071?
Answer: LCM of 2067 and 2071 is 4280757.
2. What are the Factors of 2067?
Answer: Factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. There are 8 integers that are factors of 2067. The greatest factor of 2067 is 2067.
3. What are the Factors of 2071?
Answer: Factors of 2071 are 1, 19, 109, 2071. There are 4 integers that are factors of 2071. The greatest factor of 2071 is 2071.
4. How to Find the LCM of 2067 and 2071?
Answer:
Least Common Multiple of 2067 and 2071 = 4280757
Step 1: Find the prime factorization of 2067
2067 = 3 x 13 x 53
Step 2: Find the prime factorization of 2071
2071 = 19 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4280757 = 3 x 13 x 19 x 53 x 109
Step 4: Therefore, the least common multiple of 2067 and 2071 is 4280757.
