Least Common Multiple of 1066 and 1071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1066 and 1071 the smallest integer that is 1141686 that is divisible by both numbers.
Least Common Multiple (LCM) of 1066 and 1071 is 1141686.
LCM(1066,1071) = 1141686
LCM of 1066 and 1071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1066 and 1071 by Prime method
- Least Common Multiple of 1066 and 1071 with GCF Formula
LCM of 1066 and 1071 is 1141686
Least common multiple can be found by multiplying the highest exponent prime factors of 1066 and 1071. First we will calculate the prime factors of 1066 and 1071.
Prime Factorization of 1066
| 2 | 1066 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:
1066 = 21×131×411
Prime Factorization of 1071
| 3 | 1071 |
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 1071 are 3, 7,17. Prime factorization of 1071 in exponential form is:
1071 = 32×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 1066 and 1071.
LCM(1066,1071) = 21×32×71×131×171×411
LCM(1066,1071) = 1141686
Factors of 1066
List of positive integer factors of 1066 that divides 1066 without a remainder.
1, 2, 13, 26, 41, 82, 533, 1066
Factors of 1071
List of positive integer factors of 1071 that divides 1071 without a remainder.
1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
Least Common Multiple of 1066 and 1071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1066 and 1071, than apply into the LCM equation.
GCF(1066,1071) = 1
LCM(1066,1071) = ( 1066 × 1071) / 1
LCM(1066,1071) = 1141686 / 1
LCM(1066,1071) = 1141686
Properties of LCM 1066 and 1071
(i) The LCM of 1071 and 1066 is associative
LCM of 1066 and 1071 = LCM of 1071 and 1066
Related Least Common Multiples of 1066
Related Least Common Multiples of 1071
Frequently Asked Questions on LCM of 1066 and 1071
1. What is the LCM of 1066 and 1071?
Answer: LCM of 1066 and 1071 is 1141686.
2. What are the Factors of 1066?
Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.
3. What are the Factors of 1071?
Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.
4. How to Find the LCM of 1066 and 1071?
Answer:
Least Common Multiple of 1066 and 1071 = 1141686
Step 1: Find the prime factorization of 1066
1066 = 2 x 13 x 41
Step 2: Find the prime factorization of 1071
1071 = 3 x 3 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1141686 = 2 x 3 x 3 x 7 x 13 x 17 x 41
Step 4: Therefore, the least common multiple of 1066 and 1071 is 1141686.