Least Common Multiple of 519 and 527
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 519 and 527 the smallest integer that is 273513 that is divisible by both numbers.
Least Common Multiple (LCM) of 519 and 527 is 273513.
LCM(519,527) = 273513
LCM of 519 and 527
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 519 and 527 by Prime method
- Least Common Multiple of 519 and 527 with GCF Formula
LCM of 519 and 527 is 273513
Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 527. First we will calculate the prime factors of 519 and 527.
Prime Factorization of 519
| 3 | 519 |
| 173 | 173 |
| 1 |
Prime factors of 519 are 3,173. Prime factorization of 519 in exponential form is:
519 = 31×1731
Prime Factorization of 527
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:
527 = 171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 527.
LCM(519,527) = 31×171×311×1731
LCM(519,527) = 273513
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Least Common Multiple of 519 and 527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 519 and 527, than apply into the LCM equation.
GCF(519,527) = 1
LCM(519,527) = ( 519 × 527) / 1
LCM(519,527) = 273513 / 1
LCM(519,527) = 273513
Properties of LCM 519 and 527
(i) The LCM of 527 and 519 is associative
LCM of 519 and 527 = LCM of 527 and 519
Related Least Common Multiples of 519
Related Least Common Multiples of 527
Frequently Asked Questions on LCM of 519 and 527
1. What is the LCM of 519 and 527?
Answer: LCM of 519 and 527 is 273513.
2. What are the Factors of 519?
Answer: Factors of 519 are 1, 3, 173, 519. There are 4 integers that are factors of 519. The greatest factor of 519 is 519.
3. What are the Factors of 527?
Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.
4. How to Find the LCM of 519 and 527?
Answer:
Least Common Multiple of 519 and 527 = 273513
Step 1: Find the prime factorization of 519
519 = 3 x 173
Step 2: Find the prime factorization of 527
527 = 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 273513 = 3 x 17 x 31 x 173
Step 4: Therefore, the least common multiple of 519 and 527 is 273513.