Least Common Multiple of 5018 and 5025
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 5025 the smallest integer that is 25215450 that is divisible by both numbers.
Least Common Multiple (LCM) of 5018 and 5025 is 25215450.
LCM(5018,5025) = 25215450
LCM of 5018 and 5025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5018 and 5025 by Prime method
- Least Common Multiple of 5018 and 5025 with GCF Formula
LCM of 5018 and 5025 is 25215450
Least common multiple can be found by multiplying the highest exponent prime factors of 5018 and 5025. First we will calculate the prime factors of 5018 and 5025.
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 5025
| 3 | 5025 |
| 5 | 1675 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 5025 are 3, 5,67. Prime factorization of 5025 in exponential form is:
5025 = 31×52×671
Now multiplying the highest exponent prime factors to calculate the LCM of 5018 and 5025.
LCM(5018,5025) = 21×31×52×131×671×1931
LCM(5018,5025) = 25215450
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 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
Least Common Multiple of 5018 and 5025 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 5025, than apply into the LCM equation.
GCF(5018,5025) = 1
LCM(5018,5025) = ( 5018 × 5025) / 1
LCM(5018,5025) = 25215450 / 1
LCM(5018,5025) = 25215450
Properties of LCM 5018 and 5025
(i) The LCM of 5025 and 5018 is associative
LCM of 5018 and 5025 = LCM of 5025 and 5018
Related Least Common Multiples of 5018
Related Least Common Multiples of 5025
Frequently Asked Questions on LCM of 5018 and 5025
1. What is the LCM of 5018 and 5025?
Answer: LCM of 5018 and 5025 is 25215450.
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 5025?
Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.
4. How to Find the LCM of 5018 and 5025?
Answer:
Least Common Multiple of 5018 and 5025 = 25215450
Step 1: Find the prime factorization of 5018
5018 = 2 x 13 x 193
Step 2: Find the prime factorization of 5025
5025 = 3 x 5 x 5 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25215450 = 2 x 3 x 5 x 5 x 13 x 67 x 193
Step 4: Therefore, the least common multiple of 5018 and 5025 is 25215450.