Least Common Multiple of 1017 and 1025
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1017 and 1025 the smallest integer that is 1042425 that is divisible by both numbers.
Least Common Multiple (LCM) of 1017 and 1025 is 1042425.
LCM(1017,1025) = 1042425
LCM of 1017 and 1025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1017 and 1025 by Prime method
- Least Common Multiple of 1017 and 1025 with GCF Formula
LCM of 1017 and 1025 is 1042425
Least common multiple can be found by multiplying the highest exponent prime factors of 1017 and 1025. First we will calculate the prime factors of 1017 and 1025.
Prime Factorization of 1017
| 3 | 1017 |
| 3 | 339 |
| 113 | 113 |
| 1 |
Prime factors of 1017 are 3,113. Prime factorization of 1017 in exponential form is:
1017 = 32×1131
Prime Factorization of 1025
| 5 | 1025 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 1025 are 5,41. Prime factorization of 1025 in exponential form is:
1025 = 52×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1017 and 1025.
LCM(1017,1025) = 32×52×411×1131
LCM(1017,1025) = 1042425
Factors of 1017
List of positive integer factors of 1017 that divides 1017 without a remainder.
1, 3, 9, 113, 339, 1017
Factors of 1025
List of positive integer factors of 1025 that divides 1025 without a remainder.
1, 5, 25, 41, 205, 1025
Least Common Multiple of 1017 and 1025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1017 and 1025, than apply into the LCM equation.
GCF(1017,1025) = 1
LCM(1017,1025) = ( 1017 × 1025) / 1
LCM(1017,1025) = 1042425 / 1
LCM(1017,1025) = 1042425
Properties of LCM 1017 and 1025
(i) The LCM of 1025 and 1017 is associative
LCM of 1017 and 1025 = LCM of 1025 and 1017
Related Least Common Multiples of 1017
Related Least Common Multiples of 1025
Frequently Asked Questions on LCM of 1017 and 1025
1. What is the LCM of 1017 and 1025?
Answer: LCM of 1017 and 1025 is 1042425.
2. What are the Factors of 1017?
Answer: Factors of 1017 are 1, 3, 9, 113, 339, 1017. There are 6 integers that are factors of 1017. The greatest factor of 1017 is 1017.
3. What are the Factors of 1025?
Answer: Factors of 1025 are 1, 5, 25, 41, 205, 1025. There are 6 integers that are factors of 1025. The greatest factor of 1025 is 1025.
4. How to Find the LCM of 1017 and 1025?
Answer:
Least Common Multiple of 1017 and 1025 = 1042425
Step 1: Find the prime factorization of 1017
1017 = 3 x 3 x 113
Step 2: Find the prime factorization of 1025
1025 = 5 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1042425 = 3 x 3 x 5 x 5 x 41 x 113
Step 4: Therefore, the least common multiple of 1017 and 1025 is 1042425.