Least Common Multiple of 1067 and 1075
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 1075 the smallest integer that is 1147025 that is divisible by both numbers.
Least Common Multiple (LCM) of 1067 and 1075 is 1147025.
LCM(1067,1075) = 1147025
LCM of 1067 and 1075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1067 and 1075 by Prime method
- Least Common Multiple of 1067 and 1075 with GCF Formula
LCM of 1067 and 1075 is 1147025
Least common multiple can be found by multiplying the highest exponent prime factors of 1067 and 1075. First we will calculate the prime factors of 1067 and 1075.
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 1075
| 5 | 1075 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:
1075 = 52×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1067 and 1075.
LCM(1067,1075) = 52×111×431×971
LCM(1067,1075) = 1147025
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1, 11, 97, 1067
Factors of 1075
List of positive integer factors of 1075 that divides 1075 without a remainder.
1, 5, 25, 43, 215, 1075
Least Common Multiple of 1067 and 1075 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 1075, than apply into the LCM equation.
GCF(1067,1075) = 1
LCM(1067,1075) = ( 1067 × 1075) / 1
LCM(1067,1075) = 1147025 / 1
LCM(1067,1075) = 1147025
Properties of LCM 1067 and 1075
(i) The LCM of 1075 and 1067 is associative
LCM of 1067 and 1075 = LCM of 1075 and 1067
Related Least Common Multiples of 1067
Related Least Common Multiples of 1075
Frequently Asked Questions on LCM of 1067 and 1075
1. What is the LCM of 1067 and 1075?
Answer: LCM of 1067 and 1075 is 1147025.
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 1075?
Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.
4. How to Find the LCM of 1067 and 1075?
Answer:
Least Common Multiple of 1067 and 1075 = 1147025
Step 1: Find the prime factorization of 1067
1067 = 11 x 97
Step 2: Find the prime factorization of 1075
1075 = 5 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1147025 = 5 x 5 x 11 x 43 x 97
Step 4: Therefore, the least common multiple of 1067 and 1075 is 1147025.