Least Common Multiple of 519 and 522

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 522 the smallest integer that is 90306 that is divisible by both numbers.

Least Common Multiple (LCM) of 519 and 522 is 90306.

LCM(519,522) = 90306

LCM of 519 and 522

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 519 and 522

LCM of 519 and 522 is 90306

Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 522. First we will calculate the prime factors of 519 and 522.

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 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 522.

LCM(519,522) = 21×32×291×1731
LCM(519,522) = 90306

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Least Common Multiple of 519 and 522 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 522, than apply into the LCM equation.

GCF(519,522) = 3
LCM(519,522) = ( 519 × 522) / 3
LCM(519,522) = 270918 / 3
LCM(519,522) = 90306

Properties of LCM 519 and 522

(i) The LCM of 522 and 519 is associative

LCM of 519 and 522 = LCM of 522 and 519

Related Least Common Multiples of 519

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 519 and 522

1. What is the LCM of 519 and 522?

Answer: LCM of 519 and 522 is 90306.

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 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

4. How to Find the LCM of 519 and 522?

Answer:

Least Common Multiple of 519 and 522 = 90306

Step 1: Find the prime factorization of 519

519 = 3 x 173

Step 2: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 90306 = 2 x 3 x 3 x 29 x 173

Step 4: Therefore, the least common multiple of 519 and 522 is 90306.