Least Common Multiple of 2022 and 2028
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2022 and 2028 the smallest integer that is 683436 that is divisible by both numbers.
Least Common Multiple (LCM) of 2022 and 2028 is 683436.
LCM(2022,2028) = 683436
LCM of 2022 and 2028
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2022 and 2028 by Prime method
- Least Common Multiple of 2022 and 2028 with GCF Formula
LCM of 2022 and 2028 is 683436
Least common multiple can be found by multiplying the highest exponent prime factors of 2022 and 2028. First we will calculate the prime factors of 2022 and 2028.
Prime Factorization of 2022
| 2 | 2022 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 2022 are 2, 3,337. Prime factorization of 2022 in exponential form is:
2022 = 21×31×3371
Prime Factorization of 2028
| 2 | 2028 |
| 2 | 1014 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:
2028 = 22×31×132
Now multiplying the highest exponent prime factors to calculate the LCM of 2022 and 2028.
LCM(2022,2028) = 22×31×132×3371
LCM(2022,2028) = 683436
Factors of 2022
List of positive integer factors of 2022 that divides 2022 without a remainder.
1, 2, 3, 6, 337, 674, 1011, 2022
Factors of 2028
List of positive integer factors of 2028 that divides 2028 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
Least Common Multiple of 2022 and 2028 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2022 and 2028, than apply into the LCM equation.
GCF(2022,2028) = 6
LCM(2022,2028) = ( 2022 × 2028) / 6
LCM(2022,2028) = 4100616 / 6
LCM(2022,2028) = 683436
Properties of LCM 2022 and 2028
(i) The LCM of 2028 and 2022 is associative
LCM of 2022 and 2028 = LCM of 2028 and 2022
Related Least Common Multiples of 2022
Related Least Common Multiples of 2028
Frequently Asked Questions on LCM of 2022 and 2028
1. What is the LCM of 2022 and 2028?
Answer: LCM of 2022 and 2028 is 683436.
2. What are the Factors of 2022?
Answer: Factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022. There are 8 integers that are factors of 2022. The greatest factor of 2022 is 2022.
3. What are the Factors of 2028?
Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.
4. How to Find the LCM of 2022 and 2028?
Answer:
Least Common Multiple of 2022 and 2028 = 683436
Step 1: Find the prime factorization of 2022
2022 = 2 x 3 x 337
Step 2: Find the prime factorization of 2028
2028 = 2 x 2 x 3 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 683436 = 2 x 2 x 3 x 13 x 13 x 337
Step 4: Therefore, the least common multiple of 2022 and 2028 is 683436.