Least Common Multiple of 1023 and 1030
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 1030 the smallest integer that is 1053690 that is divisible by both numbers.
Least Common Multiple (LCM) of 1023 and 1030 is 1053690.
LCM(1023,1030) = 1053690
LCM of 1023 and 1030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1023 and 1030 by Prime method
- Least Common Multiple of 1023 and 1030 with GCF Formula
LCM of 1023 and 1030 is 1053690
Least common multiple can be found by multiplying the highest exponent prime factors of 1023 and 1030. First we will calculate the prime factors of 1023 and 1030.
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 1030
| 2 | 1030 |
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 1030 are 2, 5,103. Prime factorization of 1030 in exponential form is:
1030 = 21×51×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 1023 and 1030.
LCM(1023,1030) = 21×31×51×111×311×1031
LCM(1023,1030) = 1053690
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 1030
List of positive integer factors of 1030 that divides 1030 without a remainder.
1, 2, 5, 10, 103, 206, 515, 1030
Least Common Multiple of 1023 and 1030 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 1030, than apply into the LCM equation.
GCF(1023,1030) = 1
LCM(1023,1030) = ( 1023 × 1030) / 1
LCM(1023,1030) = 1053690 / 1
LCM(1023,1030) = 1053690
Properties of LCM 1023 and 1030
(i) The LCM of 1030 and 1023 is associative
LCM of 1023 and 1030 = LCM of 1030 and 1023
Related Least Common Multiples of 1023
Related Least Common Multiples of 1030
Frequently Asked Questions on LCM of 1023 and 1030
1. What is the LCM of 1023 and 1030?
Answer: LCM of 1023 and 1030 is 1053690.
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 1030?
Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.
4. How to Find the LCM of 1023 and 1030?
Answer:
Least Common Multiple of 1023 and 1030 = 1053690
Step 1: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 2: Find the prime factorization of 1030
1030 = 2 x 5 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1053690 = 2 x 3 x 5 x 11 x 31 x 103
Step 4: Therefore, the least common multiple of 1023 and 1030 is 1053690.