Least Common Multiple of 2021 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 2021 and 2028 the smallest integer that is 4098588 that is divisible by both numbers.
Least Common Multiple (LCM) of 2021 and 2028 is 4098588.
LCM(2021,2028) = 4098588
LCM of 2021 and 2028
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2021 and 2028 by Prime method
- Least Common Multiple of 2021 and 2028 with GCF Formula
LCM of 2021 and 2028 is 4098588
Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2028. First we will calculate the prime factors of 2021 and 2028.
Prime Factorization of 2021
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:
2021 = 431×471
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 2021 and 2028.
LCM(2021,2028) = 22×31×132×431×471
LCM(2021,2028) = 4098588
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1, 43, 47, 2021
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 2021 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 2021 and 2028, than apply into the LCM equation.
GCF(2021,2028) = 1
LCM(2021,2028) = ( 2021 × 2028) / 1
LCM(2021,2028) = 4098588 / 1
LCM(2021,2028) = 4098588
Properties of LCM 2021 and 2028
(i) The LCM of 2028 and 2021 is associative
LCM of 2021 and 2028 = LCM of 2028 and 2021
Related Least Common Multiples of 2021
Related Least Common Multiples of 2028
Frequently Asked Questions on LCM of 2021 and 2028
1. What is the LCM of 2021 and 2028?
Answer: LCM of 2021 and 2028 is 4098588.
2. What are the Factors of 2021?
Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.
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 2021 and 2028?
Answer:
Least Common Multiple of 2021 and 2028 = 4098588
Step 1: Find the prime factorization of 2021
2021 = 43 x 47
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 = 4098588 = 2 x 2 x 3 x 13 x 13 x 43 x 47
Step 4: Therefore, the least common multiple of 2021 and 2028 is 4098588.