Least Common Multiple of 6519 and 6520

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 6520 the smallest integer that is 42503880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6519 and 6520 is 42503880.

LCM(6519,6520) = 42503880

LCM of 6519 and 6520

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

LCM of:
and

Least Common Multiple of 6519 and 6520

LCM of 6519 and 6520 is 42503880

Least common multiple can be found by multiplying the highest exponent prime factors of 6519 and 6520. First we will calculate the prime factors of 6519 and 6520.

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 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2, 5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6519 and 6520.

LCM(6519,6520) = 23×31×51×411×531×1631
LCM(6519,6520) = 42503880

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 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520

Least Common Multiple of 6519 and 6520 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 6520, than apply into the LCM equation.

GCF(6519,6520) = 1
LCM(6519,6520) = ( 6519 × 6520) / 1
LCM(6519,6520) = 42503880 / 1
LCM(6519,6520) = 42503880

Properties of LCM 6519 and 6520

(i) The LCM of 6520 and 6519 is associative

LCM of 6519 and 6520 = LCM of 6520 and 6519

Related Least Common Multiples of 6519

Related Least Common Multiples of 6520

Frequently Asked Questions on LCM of 6519 and 6520

1. What is the LCM of 6519 and 6520?

Answer: LCM of 6519 and 6520 is 42503880.

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 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

4. How to Find the LCM of 6519 and 6520?

Answer:

Least Common Multiple of 6519 and 6520 = 42503880

Step 1: Find the prime factorization of 6519

6519 = 3 x 41 x 53

Step 2: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

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

LCM = 42503880 = 2 x 2 x 2 x 3 x 5 x 41 x 53 x 163

Step 4: Therefore, the least common multiple of 6519 and 6520 is 42503880.