Least Common Multiple of 5025 and 5027
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5025 and 5027 the smallest integer that is 25260675 that is divisible by both numbers.
Least Common Multiple (LCM) of 5025 and 5027 is 25260675.
LCM(5025,5027) = 25260675
LCM of 5025 and 5027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5025 and 5027 by Prime method
- Least Common Multiple of 5025 and 5027 with GCF Formula
LCM of 5025 and 5027 is 25260675
Least common multiple can be found by multiplying the highest exponent prime factors of 5025 and 5027. First we will calculate the prime factors of 5025 and 5027.
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
Prime Factorization of 5027
| 11 | 5027 |
| 457 | 457 |
| 1 |
Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:
5027 = 111×4571
Now multiplying the highest exponent prime factors to calculate the LCM of 5025 and 5027.
LCM(5025,5027) = 31×52×111×671×4571
LCM(5025,5027) = 25260675
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
Factors of 5027
List of positive integer factors of 5027 that divides 5027 without a remainder.
1, 11, 457, 5027
Least Common Multiple of 5025 and 5027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5025 and 5027, than apply into the LCM equation.
GCF(5025,5027) = 1
LCM(5025,5027) = ( 5025 × 5027) / 1
LCM(5025,5027) = 25260675 / 1
LCM(5025,5027) = 25260675
Properties of LCM 5025 and 5027
(i) The LCM of 5027 and 5025 is associative
LCM of 5025 and 5027 = LCM of 5027 and 5025
Related Least Common Multiples of 5025
Related Least Common Multiples of 5027
Frequently Asked Questions on LCM of 5025 and 5027
1. What is the LCM of 5025 and 5027?
Answer: LCM of 5025 and 5027 is 25260675.
2. 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.
3. What are the Factors of 5027?
Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.
4. How to Find the LCM of 5025 and 5027?
Answer:
Least Common Multiple of 5025 and 5027 = 25260675
Step 1: Find the prime factorization of 5025
5025 = 3 x 5 x 5 x 67
Step 2: Find the prime factorization of 5027
5027 = 11 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25260675 = 3 x 5 x 5 x 11 x 67 x 457
Step 4: Therefore, the least common multiple of 5025 and 5027 is 25260675.
