Least Common Multiple of 1021 and 1023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1021 and 1023 the smallest integer that is 1044483 that is divisible by both numbers.
Least Common Multiple (LCM) of 1021 and 1023 is 1044483.
LCM(1021,1023) = 1044483
LCM of 1021 and 1023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1021 and 1023 by Prime method
- Least Common Multiple of 1021 and 1023 with GCF Formula
LCM of 1021 and 1023 is 1044483
Least common multiple can be found by multiplying the highest exponent prime factors of 1021 and 1023. First we will calculate the prime factors of 1021 and 1023.
Prime Factorization of 1021
| 1021 | 1021 |
| 1 |
Prime factors of 1021 are 1021. Prime factorization of 1021 in exponential form is:
1021 = 10211
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1021 and 1023.
LCM(1021,1023) = 31×111×311×10211
LCM(1021,1023) = 1044483
Factors of 1021
List of positive integer factors of 1021 that divides 1021 without a remainder.
1, 1021
Factors of 1023
List of positive integer factors of 1023 that divides 1023 without a remainder.
1, 3, 11, 31, 33, 93, 341, 1023
Least Common Multiple of 1021 and 1023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1021 and 1023, than apply into the LCM equation.
GCF(1021,1023) = 1
LCM(1021,1023) = ( 1021 × 1023) / 1
LCM(1021,1023) = 1044483 / 1
LCM(1021,1023) = 1044483
Properties of LCM 1021 and 1023
(i) The LCM of 1023 and 1021 is associative
LCM of 1021 and 1023 = LCM of 1023 and 1021
Related Least Common Multiples of 1021
Related Least Common Multiples of 1023
Frequently Asked Questions on LCM of 1021 and 1023
1. What is the LCM of 1021 and 1023?
Answer: LCM of 1021 and 1023 is 1044483.
2. What are the Factors of 1021?
Answer: Factors of 1021 are 1, 1021. There are 2 integers that are factors of 1021. The greatest factor of 1021 is 1021.
3. 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.
4. How to Find the LCM of 1021 and 1023?
Answer:
Least Common Multiple of 1021 and 1023 = 1044483
Step 1: Find the prime factorization of 1021
1021 = 1021
Step 2: Find the prime factorization of 1023
1023 = 3 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1044483 = 3 x 11 x 31 x 1021
Step 4: Therefore, the least common multiple of 1021 and 1023 is 1044483.