Least Common Multiple of 517 and 525
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 517 and 525 the smallest integer that is 271425 that is divisible by both numbers.
Least Common Multiple (LCM) of 517 and 525 is 271425.
LCM(517,525) = 271425
LCM of 517 and 525
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 517 and 525 by Prime method
- Least Common Multiple of 517 and 525 with GCF Formula
LCM of 517 and 525 is 271425
Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 525. First we will calculate the prime factors of 517 and 525.
Prime Factorization of 517
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 517 are 11,47. Prime factorization of 517 in exponential form is:
517 = 111×471
Prime Factorization of 525
| 3 | 525 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:
525 = 31×52×71
Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 525.
LCM(517,525) = 31×52×71×111×471
LCM(517,525) = 271425
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Least Common Multiple of 517 and 525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 517 and 525, than apply into the LCM equation.
GCF(517,525) = 1
LCM(517,525) = ( 517 × 525) / 1
LCM(517,525) = 271425 / 1
LCM(517,525) = 271425
Properties of LCM 517 and 525
(i) The LCM of 525 and 517 is associative
LCM of 517 and 525 = LCM of 525 and 517
Related Least Common Multiples of 517
Related Least Common Multiples of 525
Frequently Asked Questions on LCM of 517 and 525
1. What is the LCM of 517 and 525?
Answer: LCM of 517 and 525 is 271425.
2. What are the Factors of 517?
Answer: Factors of 517 are 1, 11, 47, 517. There are 4 integers that are factors of 517. The greatest factor of 517 is 517.
3. What are the Factors of 525?
Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.
4. How to Find the LCM of 517 and 525?
Answer:
Least Common Multiple of 517 and 525 = 271425
Step 1: Find the prime factorization of 517
517 = 11 x 47
Step 2: Find the prime factorization of 525
525 = 3 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 271425 = 3 x 5 x 5 x 7 x 11 x 47
Step 4: Therefore, the least common multiple of 517 and 525 is 271425.
