Least Common Multiple of 522 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 522 and 525 the smallest integer that is 91350 that is divisible by both numbers.

Least Common Multiple (LCM) of 522 and 525 is 91350.

LCM(522,525) = 91350

LCM of 522 and 525

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

LCM of:
and

Least Common Multiple of 522 and 525

LCM of 522 and 525 is 91350

Least common multiple can be found by multiplying the highest exponent prime factors of 522 and 525. First we will calculate the prime factors of 522 and 525.

Prime Factorization of 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

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 522 and 525.

LCM(522,525) = 21×32×52×71×291
LCM(522,525) = 91350

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 522 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 522 and 525, than apply into the LCM equation.

GCF(522,525) = 3
LCM(522,525) = ( 522 × 525) / 3
LCM(522,525) = 274050 / 3
LCM(522,525) = 91350

Properties of LCM 522 and 525

(i) The LCM of 525 and 522 is associative

LCM of 522 and 525 = LCM of 525 and 522

Related Least Common Multiples of 522

Related Least Common Multiples of 525

Frequently Asked Questions on LCM of 522 and 525

1. What is the LCM of 522 and 525?

Answer: LCM of 522 and 525 is 91350.

2. What are the Factors of 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

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 522 and 525?

Answer:

Least Common Multiple of 522 and 525 = 91350

Step 1: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

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 = 91350 = 2 x 3 x 3 x 5 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 522 and 525 is 91350.