Least Common Multiple of 6519 and 6524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6519 and 6524 the smallest integer that is 42529956 that is divisible by both numbers.

Least Common Multiple (LCM) of 6519 and 6524 is 42529956.

LCM(6519,6524) = 42529956

LCM of 6519 and 6524

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

LCM of:
and

Least Common Multiple of 6519 and 6524

LCM of 6519 and 6524 is 42529956

Least common multiple can be found by multiplying the highest exponent prime factors of 6519 and 6524. First we will calculate the prime factors of 6519 and 6524.

Prime Factorization of 6519


3 6519
41 2173
53 53
1

Prime factors of 6519 are 3, 41,53. Prime factorization of 6519 in exponential form is:

6519 = 31×411×531

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6519 and 6524.

LCM(6519,6524) = 22×31×71×411×531×2331
LCM(6519,6524) = 42529956

Factors of 6519

List of positive integer factors of 6519 that divides 6519 without a remainder.

1, 3, 41, 53, 123, 159, 2173, 6519

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

Least Common Multiple of 6519 and 6524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6519 and 6524, than apply into the LCM equation.

GCF(6519,6524) = 1
LCM(6519,6524) = ( 6519 × 6524) / 1
LCM(6519,6524) = 42529956 / 1
LCM(6519,6524) = 42529956

Properties of LCM 6519 and 6524

(i) The LCM of 6524 and 6519 is associative

LCM of 6519 and 6524 = LCM of 6524 and 6519

Related Least Common Multiples of 6519

Related Least Common Multiples of 6524

Frequently Asked Questions on LCM of 6519 and 6524

1. What is the LCM of 6519 and 6524?

Answer: LCM of 6519 and 6524 is 42529956.

2. What are the Factors of 6519?

Answer: Factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519. There are 8 integers that are factors of 6519. The greatest factor of 6519 is 6519.

3. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

4. How to Find the LCM of 6519 and 6524?

Answer:

Least Common Multiple of 6519 and 6524 = 42529956

Step 1: Find the prime factorization of 6519

6519 = 3 x 41 x 53

Step 2: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

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

LCM = 42529956 = 2 x 2 x 3 x 7 x 41 x 53 x 233

Step 4: Therefore, the least common multiple of 6519 and 6524 is 42529956.