Least Common Multiple of 1023 and 1031
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 1031 the smallest integer that is 1054713 that is divisible by both numbers.
Least Common Multiple (LCM) of 1023 and 1031 is 1054713.
LCM(1023,1031) = 1054713
LCM of 1023 and 1031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1023 and 1031 by Prime method
- Least Common Multiple of 1023 and 1031 with GCF Formula
LCM of 1023 and 1031 is 1054713
Least common multiple can be found by multiplying the highest exponent prime factors of 1023 and 1031. First we will calculate the prime factors of 1023 and 1031.
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 1031
| 1031 | 1031 |
| 1 |
Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:
1031 = 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 1023 and 1031.
LCM(1023,1031) = 31×111×311×10311
LCM(1023,1031) = 1054713
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 1031
List of positive integer factors of 1031 that divides 1031 without a remainder.
1, 1031
Least Common Multiple of 1023 and 1031 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 1031, than apply into the LCM equation.
GCF(1023,1031) = 1
LCM(1023,1031) = ( 1023 × 1031) / 1
LCM(1023,1031) = 1054713 / 1
LCM(1023,1031) = 1054713
Properties of LCM 1023 and 1031
(i) The LCM of 1031 and 1023 is associative
LCM of 1023 and 1031 = LCM of 1031 and 1023
Related Least Common Multiples of 1023
Related Least Common Multiples of 1031
Frequently Asked Questions on LCM of 1023 and 1031
1. What is the LCM of 1023 and 1031?
Answer: LCM of 1023 and 1031 is 1054713.
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 1031?
Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.
4. How to Find the LCM of 1023 and 1031?
Answer:
Least Common Multiple of 1023 and 1031 = 1054713
Step 1: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 2: Find the prime factorization of 1031
1031 = 1031
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1054713 = 3 x 11 x 31 x 1031
Step 4: Therefore, the least common multiple of 1023 and 1031 is 1054713.