Least Common Multiple of 1066 and 1073
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 1073 the smallest integer that is 1143818 that is divisible by both numbers.
Least Common Multiple (LCM) of 1066 and 1073 is 1143818.
LCM(1066,1073) = 1143818
LCM of 1066 and 1073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1066 and 1073 by Prime method
- Least Common Multiple of 1066 and 1073 with GCF Formula
LCM of 1066 and 1073 is 1143818
Least common multiple can be found by multiplying the highest exponent prime factors of 1066 and 1073. First we will calculate the prime factors of 1066 and 1073.
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 1073
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:
1073 = 291×371
Now multiplying the highest exponent prime factors to calculate the LCM of 1066 and 1073.
LCM(1066,1073) = 21×131×291×371×411
LCM(1066,1073) = 1143818
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 1073
List of positive integer factors of 1073 that divides 1073 without a remainder.
1, 29, 37, 1073
Least Common Multiple of 1066 and 1073 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 1073, than apply into the LCM equation.
GCF(1066,1073) = 1
LCM(1066,1073) = ( 1066 × 1073) / 1
LCM(1066,1073) = 1143818 / 1
LCM(1066,1073) = 1143818
Properties of LCM 1066 and 1073
(i) The LCM of 1073 and 1066 is associative
LCM of 1066 and 1073 = LCM of 1073 and 1066
Related Least Common Multiples of 1066
Related Least Common Multiples of 1073
Frequently Asked Questions on LCM of 1066 and 1073
1. What is the LCM of 1066 and 1073?
Answer: LCM of 1066 and 1073 is 1143818.
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 1073?
Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.
4. How to Find the LCM of 1066 and 1073?
Answer:
Least Common Multiple of 1066 and 1073 = 1143818
Step 1: Find the prime factorization of 1066
1066 = 2 x 13 x 41
Step 2: Find the prime factorization of 1073
1073 = 29 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1143818 = 2 x 13 x 29 x 37 x 41
Step 4: Therefore, the least common multiple of 1066 and 1073 is 1143818.