Least Common Multiple of 1067 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 1067 and 1073 the smallest integer that is 1144891 that is divisible by both numbers.
Least Common Multiple (LCM) of 1067 and 1073 is 1144891.
LCM(1067,1073) = 1144891
LCM of 1067 and 1073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1067 and 1073 by Prime method
- Least Common Multiple of 1067 and 1073 with GCF Formula
LCM of 1067 and 1073 is 1144891
Least common multiple can be found by multiplying the highest exponent prime factors of 1067 and 1073. First we will calculate the prime factors of 1067 and 1073.
Prime Factorization of 1067
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:
1067 = 111×971
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 1067 and 1073.
LCM(1067,1073) = 111×291×371×971
LCM(1067,1073) = 1144891
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1, 11, 97, 1067
Factors of 1073
List of positive integer factors of 1073 that divides 1073 without a remainder.
1, 29, 37, 1073
Least Common Multiple of 1067 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 1067 and 1073, than apply into the LCM equation.
GCF(1067,1073) = 1
LCM(1067,1073) = ( 1067 × 1073) / 1
LCM(1067,1073) = 1144891 / 1
LCM(1067,1073) = 1144891
Properties of LCM 1067 and 1073
(i) The LCM of 1073 and 1067 is associative
LCM of 1067 and 1073 = LCM of 1073 and 1067
Related Least Common Multiples of 1067
Related Least Common Multiples of 1073
Frequently Asked Questions on LCM of 1067 and 1073
1. What is the LCM of 1067 and 1073?
Answer: LCM of 1067 and 1073 is 1144891.
2. What are the Factors of 1067?
Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.
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 1067 and 1073?
Answer:
Least Common Multiple of 1067 and 1073 = 1144891
Step 1: Find the prime factorization of 1067
1067 = 11 x 97
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 = 1144891 = 11 x 29 x 37 x 97
Step 4: Therefore, the least common multiple of 1067 and 1073 is 1144891.