Least Common Multiple of 1027 and 1035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1027 and 1035 the smallest integer that is 1062945 that is divisible by both numbers.
Least Common Multiple (LCM) of 1027 and 1035 is 1062945.
LCM(1027,1035) = 1062945
LCM of 1027 and 1035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1027 and 1035 by Prime method
- Least Common Multiple of 1027 and 1035 with GCF Formula
LCM of 1027 and 1035 is 1062945
Least common multiple can be found by multiplying the highest exponent prime factors of 1027 and 1035. First we will calculate the prime factors of 1027 and 1035.
Prime Factorization of 1027
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:
1027 = 131×791
Prime Factorization of 1035
| 3 | 1035 |
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 1035 are 3, 5,23. Prime factorization of 1035 in exponential form is:
1035 = 32×51×231
Now multiplying the highest exponent prime factors to calculate the LCM of 1027 and 1035.
LCM(1027,1035) = 32×51×131×231×791
LCM(1027,1035) = 1062945
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1, 13, 79, 1027
Factors of 1035
List of positive integer factors of 1035 that divides 1035 without a remainder.
1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
Least Common Multiple of 1027 and 1035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1027 and 1035, than apply into the LCM equation.
GCF(1027,1035) = 1
LCM(1027,1035) = ( 1027 × 1035) / 1
LCM(1027,1035) = 1062945 / 1
LCM(1027,1035) = 1062945
Properties of LCM 1027 and 1035
(i) The LCM of 1035 and 1027 is associative
LCM of 1027 and 1035 = LCM of 1035 and 1027
Related Least Common Multiples of 1027
Related Least Common Multiples of 1035
Frequently Asked Questions on LCM of 1027 and 1035
1. What is the LCM of 1027 and 1035?
Answer: LCM of 1027 and 1035 is 1062945.
2. What are the Factors of 1027?
Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.
3. What are the Factors of 1035?
Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.
4. How to Find the LCM of 1027 and 1035?
Answer:
Least Common Multiple of 1027 and 1035 = 1062945
Step 1: Find the prime factorization of 1027
1027 = 13 x 79
Step 2: Find the prime factorization of 1035
1035 = 3 x 3 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1062945 = 3 x 3 x 5 x 13 x 23 x 79
Step 4: Therefore, the least common multiple of 1027 and 1035 is 1062945.
