Least Common Multiple of 6017 and 6025
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6017 and 6025 the smallest integer that is 36252425 that is divisible by both numbers.
Least Common Multiple (LCM) of 6017 and 6025 is 36252425.
LCM(6017,6025) = 36252425
LCM of 6017 and 6025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6017 and 6025 by Prime method
- Least Common Multiple of 6017 and 6025 with GCF Formula
LCM of 6017 and 6025 is 36252425
Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6025. First we will calculate the prime factors of 6017 and 6025.
Prime Factorization of 6017
| 11 | 6017 |
| 547 | 547 |
| 1 |
Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:
6017 = 111×5471
Prime Factorization of 6025
| 5 | 6025 |
| 5 | 1205 |
| 241 | 241 |
| 1 |
Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:
6025 = 52×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6025.
LCM(6017,6025) = 52×111×2411×5471
LCM(6017,6025) = 36252425
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1, 11, 547, 6017
Factors of 6025
List of positive integer factors of 6025 that divides 6025 without a remainder.
1, 5, 25, 241, 1205, 6025
Least Common Multiple of 6017 and 6025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6017 and 6025, than apply into the LCM equation.
GCF(6017,6025) = 1
LCM(6017,6025) = ( 6017 × 6025) / 1
LCM(6017,6025) = 36252425 / 1
LCM(6017,6025) = 36252425
Properties of LCM 6017 and 6025
(i) The LCM of 6025 and 6017 is associative
LCM of 6017 and 6025 = LCM of 6025 and 6017
Related Least Common Multiples of 6017
Related Least Common Multiples of 6025
Frequently Asked Questions on LCM of 6017 and 6025
1. What is the LCM of 6017 and 6025?
Answer: LCM of 6017 and 6025 is 36252425.
2. What are the Factors of 6017?
Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.
3. What are the Factors of 6025?
Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.
4. How to Find the LCM of 6017 and 6025?
Answer:
Least Common Multiple of 6017 and 6025 = 36252425
Step 1: Find the prime factorization of 6017
6017 = 11 x 547
Step 2: Find the prime factorization of 6025
6025 = 5 x 5 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36252425 = 5 x 5 x 11 x 241 x 547
Step 4: Therefore, the least common multiple of 6017 and 6025 is 36252425.