Least Common Multiple of 1023 and 1027
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1023 and 1027 the smallest integer that is 1050621 that is divisible by both numbers.
Least Common Multiple (LCM) of 1023 and 1027 is 1050621.
LCM(1023,1027) = 1050621
LCM of 1023 and 1027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1023 and 1027 by Prime method
- Least Common Multiple of 1023 and 1027 with GCF Formula
LCM of 1023 and 1027 is 1050621
Least common multiple can be found by multiplying the highest exponent prime factors of 1023 and 1027. First we will calculate the prime factors of 1023 and 1027.
Prime Factorization of 1023
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 1023 are 3, 11,31. Prime factorization of 1023 in exponential form is:
1023 = 31×111×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1023 and 1027.
LCM(1023,1027) = 31×111×131×311×791
LCM(1023,1027) = 1050621
Factors of 1023
List of positive integer factors of 1023 that divides 1023 without a remainder.
1, 3, 11, 31, 33, 93, 341, 1023
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1, 13, 79, 1027
Least Common Multiple of 1023 and 1027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1023 and 1027, than apply into the LCM equation.
GCF(1023,1027) = 1
LCM(1023,1027) = ( 1023 × 1027) / 1
LCM(1023,1027) = 1050621 / 1
LCM(1023,1027) = 1050621
Properties of LCM 1023 and 1027
(i) The LCM of 1027 and 1023 is associative
LCM of 1023 and 1027 = LCM of 1027 and 1023
Related Least Common Multiples of 1023
Related Least Common Multiples of 1027
Frequently Asked Questions on LCM of 1023 and 1027
1. What is the LCM of 1023 and 1027?
Answer: LCM of 1023 and 1027 is 1050621.
2. What are the Factors of 1023?
Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.
3. 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.
4. How to Find the LCM of 1023 and 1027?
Answer:
Least Common Multiple of 1023 and 1027 = 1050621
Step 1: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 2: Find the prime factorization of 1027
1027 = 13 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1050621 = 3 x 11 x 13 x 31 x 79
Step 4: Therefore, the least common multiple of 1023 and 1027 is 1050621.