Least Common Multiple of 2020 and 2023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2020 and 2023 the smallest integer that is 4086460 that is divisible by both numbers.
Least Common Multiple (LCM) of 2020 and 2023 is 4086460.
LCM(2020,2023) = 4086460
LCM of 2020 and 2023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2020 and 2023 by Prime method
- Least Common Multiple of 2020 and 2023 with GCF Formula
LCM of 2020 and 2023 is 4086460
Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2023. First we will calculate the prime factors of 2020 and 2023.
Prime Factorization of 2020
| 2 | 2020 |
| 2 | 1010 |
| 5 | 505 |
| 101 | 101 |
| 1 |
Prime factors of 2020 are 2, 5,101. Prime factorization of 2020 in exponential form is:
2020 = 22×51×1011
Prime Factorization of 2023
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 2023 are 7,17. Prime factorization of 2023 in exponential form is:
2023 = 71×172
Now multiplying the highest exponent prime factors to calculate the LCM of 2020 and 2023.
LCM(2020,2023) = 22×51×71×172×1011
LCM(2020,2023) = 4086460
Factors of 2020
List of positive integer factors of 2020 that divides 2020 without a remainder.
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
Factors of 2023
List of positive integer factors of 2023 that divides 2023 without a remainder.
1, 7, 17, 119, 289, 2023
Least Common Multiple of 2020 and 2023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2020 and 2023, than apply into the LCM equation.
GCF(2020,2023) = 1
LCM(2020,2023) = ( 2020 × 2023) / 1
LCM(2020,2023) = 4086460 / 1
LCM(2020,2023) = 4086460
Properties of LCM 2020 and 2023
(i) The LCM of 2023 and 2020 is associative
LCM of 2020 and 2023 = LCM of 2023 and 2020
Related Least Common Multiples of 2020
Related Least Common Multiples of 2023
Frequently Asked Questions on LCM of 2020 and 2023
1. What is the LCM of 2020 and 2023?
Answer: LCM of 2020 and 2023 is 4086460.
2. What are the Factors of 2020?
Answer: Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. There are 12 integers that are factors of 2020. The greatest factor of 2020 is 2020.
3. What are the Factors of 2023?
Answer: Factors of 2023 are 1, 7, 17, 119, 289, 2023. There are 6 integers that are factors of 2023. The greatest factor of 2023 is 2023.
4. How to Find the LCM of 2020 and 2023?
Answer:
Least Common Multiple of 2020 and 2023 = 4086460
Step 1: Find the prime factorization of 2020
2020 = 2 x 2 x 5 x 101
Step 2: Find the prime factorization of 2023
2023 = 7 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4086460 = 2 x 2 x 5 x 7 x 17 x 17 x 101
Step 4: Therefore, the least common multiple of 2020 and 2023 is 4086460.