Least Common Multiple of 519 and 520

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 520 the smallest integer that is 269880 that is divisible by both numbers.

Least Common Multiple (LCM) of 519 and 520 is 269880.

LCM(519,520) = 269880

LCM of 519 and 520

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

LCM of:
and

Least Common Multiple of 519 and 520

LCM of 519 and 520 is 269880

Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 520. First we will calculate the prime factors of 519 and 520.

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 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 520.

LCM(519,520) = 23×31×51×131×1731
LCM(519,520) = 269880

Factors of 519

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

1, 3, 173, 519

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Least Common Multiple of 519 and 520 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 520, than apply into the LCM equation.

GCF(519,520) = 1
LCM(519,520) = ( 519 × 520) / 1
LCM(519,520) = 269880 / 1
LCM(519,520) = 269880

Properties of LCM 519 and 520

(i) The LCM of 520 and 519 is associative

LCM of 519 and 520 = LCM of 520 and 519

Related Least Common Multiples of 519

Related Least Common Multiples of 520

Frequently Asked Questions on LCM of 519 and 520

1. What is the LCM of 519 and 520?

Answer: LCM of 519 and 520 is 269880.

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 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

4. How to Find the LCM of 519 and 520?

Answer:

Least Common Multiple of 519 and 520 = 269880

Step 1: Find the prime factorization of 519

519 = 3 x 173

Step 2: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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

LCM = 269880 = 2 x 2 x 2 x 3 x 5 x 13 x 173

Step 4: Therefore, the least common multiple of 519 and 520 is 269880.