Least Common Multiple of 2018 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 2018 and 2023 the smallest integer that is 4082414 that is divisible by both numbers.
Least Common Multiple (LCM) of 2018 and 2023 is 4082414.
LCM(2018,2023) = 4082414
LCM of 2018 and 2023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2018 and 2023 by Prime method
- Least Common Multiple of 2018 and 2023 with GCF Formula
LCM of 2018 and 2023 is 4082414
Least common multiple can be found by multiplying the highest exponent prime factors of 2018 and 2023. First we will calculate the prime factors of 2018 and 2023.
Prime Factorization of 2018
| 2 | 2018 |
| 1009 | 1009 |
| 1 |
Prime factors of 2018 are 2,1009. Prime factorization of 2018 in exponential form is:
2018 = 21×10091
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 2018 and 2023.
LCM(2018,2023) = 21×71×172×10091
LCM(2018,2023) = 4082414
Factors of 2018
List of positive integer factors of 2018 that divides 2018 without a remainder.
1, 2, 1009, 2018
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 2018 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 2018 and 2023, than apply into the LCM equation.
GCF(2018,2023) = 1
LCM(2018,2023) = ( 2018 × 2023) / 1
LCM(2018,2023) = 4082414 / 1
LCM(2018,2023) = 4082414
Properties of LCM 2018 and 2023
(i) The LCM of 2023 and 2018 is associative
LCM of 2018 and 2023 = LCM of 2023 and 2018
Related Least Common Multiples of 2018
Related Least Common Multiples of 2023
Frequently Asked Questions on LCM of 2018 and 2023
1. What is the LCM of 2018 and 2023?
Answer: LCM of 2018 and 2023 is 4082414.
2. What are the Factors of 2018?
Answer: Factors of 2018 are 1, 2, 1009, 2018. There are 4 integers that are factors of 2018. The greatest factor of 2018 is 2018.
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 2018 and 2023?
Answer:
Least Common Multiple of 2018 and 2023 = 4082414
Step 1: Find the prime factorization of 2018
2018 = 2 x 1009
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 = 4082414 = 2 x 7 x 17 x 17 x 1009
Step 4: Therefore, the least common multiple of 2018 and 2023 is 4082414.