Least Common Multiple of 1028 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 1028 and 1035 the smallest integer that is 1063980 that is divisible by both numbers.
Least Common Multiple (LCM) of 1028 and 1035 is 1063980.
LCM(1028,1035) = 1063980
LCM of 1028 and 1035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1028 and 1035 by Prime method
- Least Common Multiple of 1028 and 1035 with GCF Formula
LCM of 1028 and 1035 is 1063980
Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1035. First we will calculate the prime factors of 1028 and 1035.
Prime Factorization of 1028
| 2 | 1028 |
| 2 | 514 |
| 257 | 257 |
| 1 |
Prime factors of 1028 are 2,257. Prime factorization of 1028 in exponential form is:
1028 = 22×2571
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 1028 and 1035.
LCM(1028,1035) = 22×32×51×231×2571
LCM(1028,1035) = 1063980
Factors of 1028
List of positive integer factors of 1028 that divides 1028 without a remainder.
1, 2, 4, 257, 514, 1028
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 1028 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 1028 and 1035, than apply into the LCM equation.
GCF(1028,1035) = 1
LCM(1028,1035) = ( 1028 × 1035) / 1
LCM(1028,1035) = 1063980 / 1
LCM(1028,1035) = 1063980
Properties of LCM 1028 and 1035
(i) The LCM of 1035 and 1028 is associative
LCM of 1028 and 1035 = LCM of 1035 and 1028
Related Least Common Multiples of 1028
Related Least Common Multiples of 1035
Frequently Asked Questions on LCM of 1028 and 1035
1. What is the LCM of 1028 and 1035?
Answer: LCM of 1028 and 1035 is 1063980.
2. What are the Factors of 1028?
Answer: Factors of 1028 are 1, 2, 4, 257, 514, 1028. There are 6 integers that are factors of 1028. The greatest factor of 1028 is 1028.
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 1028 and 1035?
Answer:
Least Common Multiple of 1028 and 1035 = 1063980
Step 1: Find the prime factorization of 1028
1028 = 2 x 2 x 257
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 = 1063980 = 2 x 2 x 3 x 3 x 5 x 23 x 257
Step 4: Therefore, the least common multiple of 1028 and 1035 is 1063980.
