Least Common Multiple of 5018 and 5023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5018 and 5023 the smallest integer that is 25205414 that is divisible by both numbers.
Least Common Multiple (LCM) of 5018 and 5023 is 25205414.
LCM(5018,5023) = 25205414
LCM of 5018 and 5023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5018 and 5023 by Prime method
- Least Common Multiple of 5018 and 5023 with GCF Formula
LCM of 5018 and 5023 is 25205414
Least common multiple can be found by multiplying the highest exponent prime factors of 5018 and 5023. First we will calculate the prime factors of 5018 and 5023.
Prime Factorization of 5018
| 2 | 5018 |
| 13 | 2509 |
| 193 | 193 |
| 1 |
Prime factors of 5018 are 2, 13,193. Prime factorization of 5018 in exponential form is:
5018 = 21×131×1931
Prime Factorization of 5023
| 5023 | 5023 |
| 1 |
Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:
5023 = 50231
Now multiplying the highest exponent prime factors to calculate the LCM of 5018 and 5023.
LCM(5018,5023) = 21×131×1931×50231
LCM(5018,5023) = 25205414
Factors of 5018
List of positive integer factors of 5018 that divides 5018 without a remainder.
1, 2, 13, 26, 193, 386, 2509, 5018
Factors of 5023
List of positive integer factors of 5023 that divides 5023 without a remainder.
1, 5023
Least Common Multiple of 5018 and 5023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5018 and 5023, than apply into the LCM equation.
GCF(5018,5023) = 1
LCM(5018,5023) = ( 5018 × 5023) / 1
LCM(5018,5023) = 25205414 / 1
LCM(5018,5023) = 25205414
Properties of LCM 5018 and 5023
(i) The LCM of 5023 and 5018 is associative
LCM of 5018 and 5023 = LCM of 5023 and 5018
Related Least Common Multiples of 5018
Related Least Common Multiples of 5023
Frequently Asked Questions on LCM of 5018 and 5023
1. What is the LCM of 5018 and 5023?
Answer: LCM of 5018 and 5023 is 25205414.
2. What are the Factors of 5018?
Answer: Factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018. There are 8 integers that are factors of 5018. The greatest factor of 5018 is 5018.
3. What are the Factors of 5023?
Answer: Factors of 5023 are 1, 5023. There are 2 integers that are factors of 5023. The greatest factor of 5023 is 5023.
4. How to Find the LCM of 5018 and 5023?
Answer:
Least Common Multiple of 5018 and 5023 = 25205414
Step 1: Find the prime factorization of 5018
5018 = 2 x 13 x 193
Step 2: Find the prime factorization of 5023
5023 = 5023
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25205414 = 2 x 13 x 193 x 5023
Step 4: Therefore, the least common multiple of 5018 and 5023 is 25205414.