Least Common Multiple of 1071 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 1071 and 1075 the smallest integer that is 1151325 that is divisible by both numbers.
Least Common Multiple (LCM) of 1071 and 1075 is 1151325.
LCM(1071,1075) = 1151325
LCM of 1071 and 1075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1071 and 1075 by Prime method
- Least Common Multiple of 1071 and 1075 with GCF Formula
LCM of 1071 and 1075 is 1151325
Least common multiple can be found by multiplying the highest exponent prime factors of 1071 and 1075. First we will calculate the prime factors of 1071 and 1075.
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
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 1071 and 1075.
LCM(1071,1075) = 32×52×71×171×431
LCM(1071,1075) = 1151325
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
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 1071 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 1071 and 1075, than apply into the LCM equation.
GCF(1071,1075) = 1
LCM(1071,1075) = ( 1071 × 1075) / 1
LCM(1071,1075) = 1151325 / 1
LCM(1071,1075) = 1151325
Properties of LCM 1071 and 1075
(i) The LCM of 1075 and 1071 is associative
LCM of 1071 and 1075 = LCM of 1075 and 1071
Related Least Common Multiples of 1071
Related Least Common Multiples of 1075
Frequently Asked Questions on LCM of 1071 and 1075
1. What is the LCM of 1071 and 1075?
Answer: LCM of 1071 and 1075 is 1151325.
2. 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.
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 1071 and 1075?
Answer:
Least Common Multiple of 1071 and 1075 = 1151325
Step 1: Find the prime factorization of 1071
1071 = 3 x 3 x 7 x 17
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 = 1151325 = 3 x 3 x 5 x 5 x 7 x 17 x 43
Step 4: Therefore, the least common multiple of 1071 and 1075 is 1151325.