Least Common Multiple of 519 and 524

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 524 the smallest integer that is 271956 that is divisible by both numbers.

Least Common Multiple (LCM) of 519 and 524 is 271956.

LCM(519,524) = 271956

LCM of 519 and 524

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

LCM of:
and

Least Common Multiple of 519 and 524

LCM of 519 and 524 is 271956

Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 524. First we will calculate the prime factors of 519 and 524.

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 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 524.

LCM(519,524) = 22×31×1311×1731
LCM(519,524) = 271956

Factors of 519

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

1, 3, 173, 519

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 519 and 524 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 524, than apply into the LCM equation.

GCF(519,524) = 1
LCM(519,524) = ( 519 × 524) / 1
LCM(519,524) = 271956 / 1
LCM(519,524) = 271956

Properties of LCM 519 and 524

(i) The LCM of 524 and 519 is associative

LCM of 519 and 524 = LCM of 524 and 519

Related Least Common Multiples of 519

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 519 and 524

1. What is the LCM of 519 and 524?

Answer: LCM of 519 and 524 is 271956.

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 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 519 and 524?

Answer:

Least Common Multiple of 519 and 524 = 271956

Step 1: Find the prime factorization of 519

519 = 3 x 173

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 271956 = 2 x 2 x 3 x 131 x 173

Step 4: Therefore, the least common multiple of 519 and 524 is 271956.