Least Common Multiple of 6519 and 6525

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 6525 the smallest integer that is 14178825 that is divisible by both numbers.

Least Common Multiple (LCM) of 6519 and 6525 is 14178825.

LCM(6519,6525) = 14178825

LCM of 6519 and 6525

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

LCM of:
and

Least Common Multiple of 6519 and 6525

LCM of 6519 and 6525 is 14178825

Least common multiple can be found by multiplying the highest exponent prime factors of 6519 and 6525. First we will calculate the prime factors of 6519 and 6525.

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 6525


3 6525
3 2175
5 725
5 145
29 29
1

Prime factors of 6525 are 3, 5,29. Prime factorization of 6525 in exponential form is:

6525 = 32×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6519 and 6525.

LCM(6519,6525) = 32×52×291×411×531
LCM(6519,6525) = 14178825

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 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525

Least Common Multiple of 6519 and 6525 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 6525, than apply into the LCM equation.

GCF(6519,6525) = 3
LCM(6519,6525) = ( 6519 × 6525) / 3
LCM(6519,6525) = 42536475 / 3
LCM(6519,6525) = 14178825

Properties of LCM 6519 and 6525

(i) The LCM of 6525 and 6519 is associative

LCM of 6519 and 6525 = LCM of 6525 and 6519

Related Least Common Multiples of 6519

Related Least Common Multiples of 6525

Frequently Asked Questions on LCM of 6519 and 6525

1. What is the LCM of 6519 and 6525?

Answer: LCM of 6519 and 6525 is 14178825.

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 6525?

Answer: Factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525. There are 18 integers that are factors of 6525. The greatest factor of 6525 is 6525.

4. How to Find the LCM of 6519 and 6525?

Answer:

Least Common Multiple of 6519 and 6525 = 14178825

Step 1: Find the prime factorization of 6519

6519 = 3 x 41 x 53

Step 2: Find the prime factorization of 6525

6525 = 3 x 3 x 5 x 5 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 = 14178825 = 3 x 3 x 5 x 5 x 29 x 41 x 53

Step 4: Therefore, the least common multiple of 6519 and 6525 is 14178825.