Least Common Multiple of 519 and 525

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 525 the smallest integer that is 90825 that is divisible by both numbers.

Least Common Multiple (LCM) of 519 and 525 is 90825.

LCM(519,525) = 90825

LCM of 519 and 525

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

LCM of:
and

Least Common Multiple of 519 and 525

LCM of 519 and 525 is 90825

Least common multiple can be found by multiplying the highest exponent prime factors of 519 and 525. First we will calculate the prime factors of 519 and 525.

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 525


3 525
5 175
5 35
7 7
1

Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:

525 = 31×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 519 and 525.

LCM(519,525) = 31×52×71×1731
LCM(519,525) = 90825

Factors of 519

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

1, 3, 173, 519

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Least Common Multiple of 519 and 525 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 525, than apply into the LCM equation.

GCF(519,525) = 3
LCM(519,525) = ( 519 × 525) / 3
LCM(519,525) = 272475 / 3
LCM(519,525) = 90825

Properties of LCM 519 and 525

(i) The LCM of 525 and 519 is associative

LCM of 519 and 525 = LCM of 525 and 519

Related Least Common Multiples of 519

Related Least Common Multiples of 525

Frequently Asked Questions on LCM of 519 and 525

1. What is the LCM of 519 and 525?

Answer: LCM of 519 and 525 is 90825.

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 525?

Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.

4. How to Find the LCM of 519 and 525?

Answer:

Least Common Multiple of 519 and 525 = 90825

Step 1: Find the prime factorization of 519

519 = 3 x 173

Step 2: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

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

LCM = 90825 = 3 x 5 x 5 x 7 x 173

Step 4: Therefore, the least common multiple of 519 and 525 is 90825.