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 523 the smallest integer that is 271437 that is divisible by both numbers.
Least Common Multiple (LCM) of 519 and 523 is 271437.
LCM(519,523) = 271437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 523. First we will calculate the prime factors of 519 and 523.
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 523
523 | 523 |
1 |
Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:
523 = 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 523.
LCM(519,523) = 31×1731×5231
LCM(519,523) = 271437
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1, 523
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 519 and 523, than apply into the LCM equation.
GCF(519,523) = 1
LCM(519,523) = ( 519 × 523) / 1
LCM(519,523) = 271437 / 1
LCM(519,523) = 271437
(i) The LCM of 523 and 519 is associative
LCM of 519 and 523 = LCM of 523 and 519
1. What is the LCM of 519 and 523?
Answer: LCM of 519 and 523 is 271437.
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 523?
Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.
4. How to Find the LCM of 519 and 523?
Answer:
Least Common Multiple of 519 and 523 = 271437
Step 1: Find the prime factorization of 519
519 = 3 x 173
Step 2: Find the prime factorization of 523
523 = 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 271437 = 3 x 173 x 523
Step 4: Therefore, the least common multiple of 519 and 523 is 271437.