Least Common Multiple of 2024 and 2031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2024 and 2031 the smallest integer that is 4110744 that is divisible by both numbers.
Least Common Multiple (LCM) of 2024 and 2031 is 4110744.
LCM(2024,2031) = 4110744
LCM of 2024 and 2031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2024 and 2031 by Prime method
- Least Common Multiple of 2024 and 2031 with GCF Formula
LCM of 2024 and 2031 is 4110744
Least common multiple can be found by multiplying the highest exponent prime factors of 2024 and 2031. First we will calculate the prime factors of 2024 and 2031.
Prime Factorization of 2024
| 2 | 2024 |
| 2 | 1012 |
| 2 | 506 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 2024 are 2, 11,23. Prime factorization of 2024 in exponential form is:
2024 = 23×111×231
Prime Factorization of 2031
| 3 | 2031 |
| 677 | 677 |
| 1 |
Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:
2031 = 31×6771
Now multiplying the highest exponent prime factors to calculate the LCM of 2024 and 2031.
LCM(2024,2031) = 23×31×111×231×6771
LCM(2024,2031) = 4110744
Factors of 2024
List of positive integer factors of 2024 that divides 2024 without a remainder.
1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
Factors of 2031
List of positive integer factors of 2031 that divides 2031 without a remainder.
1, 3, 677, 2031
Least Common Multiple of 2024 and 2031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2024 and 2031, than apply into the LCM equation.
GCF(2024,2031) = 1
LCM(2024,2031) = ( 2024 × 2031) / 1
LCM(2024,2031) = 4110744 / 1
LCM(2024,2031) = 4110744
Properties of LCM 2024 and 2031
(i) The LCM of 2031 and 2024 is associative
LCM of 2024 and 2031 = LCM of 2031 and 2024
Related Least Common Multiples of 2024
Related Least Common Multiples of 2031
Frequently Asked Questions on LCM of 2024 and 2031
1. What is the LCM of 2024 and 2031?
Answer: LCM of 2024 and 2031 is 4110744.
2. What are the Factors of 2024?
Answer: Factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024. There are 16 integers that are factors of 2024. The greatest factor of 2024 is 2024.
3. What are the Factors of 2031?
Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.
4. How to Find the LCM of 2024 and 2031?
Answer:
Least Common Multiple of 2024 and 2031 = 4110744
Step 1: Find the prime factorization of 2024
2024 = 2 x 2 x 2 x 11 x 23
Step 2: Find the prime factorization of 2031
2031 = 3 x 677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4110744 = 2 x 2 x 2 x 3 x 11 x 23 x 677
Step 4: Therefore, the least common multiple of 2024 and 2031 is 4110744.