Least Common Multiple of 2021 and 2022
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 2022 the smallest integer that is 4086462 that is divisible by both numbers.
Least Common Multiple (LCM) of 2021 and 2022 is 4086462.
LCM(2021,2022) = 4086462
LCM of 2021 and 2022
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2021 and 2022 by Prime method
- Least Common Multiple of 2021 and 2022 with GCF Formula
LCM of 2021 and 2022 is 4086462
Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2022. First we will calculate the prime factors of 2021 and 2022.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2021 and 2022.
LCM(2021,2022) = 21×31×431×471×3371
LCM(2021,2022) = 4086462
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1, 43, 47, 2021
Factors of 2022
List of positive integer factors of 2022 that divides 2022 without a remainder.
1, 2, 3, 6, 337, 674, 1011, 2022
Least Common Multiple of 2021 and 2022 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 2022, than apply into the LCM equation.
GCF(2021,2022) = 1
LCM(2021,2022) = ( 2021 × 2022) / 1
LCM(2021,2022) = 4086462 / 1
LCM(2021,2022) = 4086462
Properties of LCM 2021 and 2022
(i) The LCM of 2022 and 2021 is associative
LCM of 2021 and 2022 = LCM of 2022 and 2021
Related Least Common Multiples of 2021
Related Least Common Multiples of 2022
Frequently Asked Questions on LCM of 2021 and 2022
1. What is the LCM of 2021 and 2022?
Answer: LCM of 2021 and 2022 is 4086462.
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 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.
4. How to Find the LCM of 2021 and 2022?
Answer:
Least Common Multiple of 2021 and 2022 = 4086462
Step 1: Find the prime factorization of 2021
2021 = 43 x 47
Step 2: Find the prime factorization of 2022
2022 = 2 x 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4086462 = 2 x 3 x 43 x 47 x 337
Step 4: Therefore, the least common multiple of 2021 and 2022 is 4086462.