Least Common Multiple of 1022 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 1022 and 1027 the smallest integer that is 1049594 that is divisible by both numbers.
Least Common Multiple (LCM) of 1022 and 1027 is 1049594.
LCM(1022,1027) = 1049594
LCM of 1022 and 1027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1022 and 1027 by Prime method
- Least Common Multiple of 1022 and 1027 with GCF Formula
LCM of 1022 and 1027 is 1049594
Least common multiple can be found by multiplying the highest exponent prime factors of 1022 and 1027. First we will calculate the prime factors of 1022 and 1027.
Prime Factorization of 1022
| 2 | 1022 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 1022 are 2, 7,73. Prime factorization of 1022 in exponential form is:
1022 = 21×71×731
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 1022 and 1027.
LCM(1022,1027) = 21×71×131×731×791
LCM(1022,1027) = 1049594
Factors of 1022
List of positive integer factors of 1022 that divides 1022 without a remainder.
1, 2, 7, 14, 73, 146, 511, 1022
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1, 13, 79, 1027
Least Common Multiple of 1022 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 1022 and 1027, than apply into the LCM equation.
GCF(1022,1027) = 1
LCM(1022,1027) = ( 1022 × 1027) / 1
LCM(1022,1027) = 1049594 / 1
LCM(1022,1027) = 1049594
Properties of LCM 1022 and 1027
(i) The LCM of 1027 and 1022 is associative
LCM of 1022 and 1027 = LCM of 1027 and 1022
Related Least Common Multiples of 1022
Related Least Common Multiples of 1027
Frequently Asked Questions on LCM of 1022 and 1027
1. What is the LCM of 1022 and 1027?
Answer: LCM of 1022 and 1027 is 1049594.
2. What are the Factors of 1022?
Answer: Factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. There are 8 integers that are factors of 1022. The greatest factor of 1022 is 1022.
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 1022 and 1027?
Answer:
Least Common Multiple of 1022 and 1027 = 1049594
Step 1: Find the prime factorization of 1022
1022 = 2 x 7 x 73
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 = 1049594 = 2 x 7 x 13 x 73 x 79
Step 4: Therefore, the least common multiple of 1022 and 1027 is 1049594.