Least Common Multiple of 522 and 529

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 529 the smallest integer that is 276138 that is divisible by both numbers.

Least Common Multiple (LCM) of 522 and 529 is 276138.

LCM(522,529) = 276138

LCM of 522 and 529

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

LCM of:
and

Least Common Multiple of 522 and 529

LCM of 522 and 529 is 276138

Least common multiple can be found by multiplying the highest exponent prime factors of 522 and 529. First we will calculate the prime factors of 522 and 529.

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 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

Now multiplying the highest exponent prime factors to calculate the LCM of 522 and 529.

LCM(522,529) = 21×32×232×291
LCM(522,529) = 276138

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 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Least Common Multiple of 522 and 529 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 529, than apply into the LCM equation.

GCF(522,529) = 1
LCM(522,529) = ( 522 × 529) / 1
LCM(522,529) = 276138 / 1
LCM(522,529) = 276138

Properties of LCM 522 and 529

(i) The LCM of 529 and 522 is associative

LCM of 522 and 529 = LCM of 529 and 522

Related Least Common Multiples of 522

Related Least Common Multiples of 529

Frequently Asked Questions on LCM of 522 and 529

1. What is the LCM of 522 and 529?

Answer: LCM of 522 and 529 is 276138.

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 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

4. How to Find the LCM of 522 and 529?

Answer:

Least Common Multiple of 522 and 529 = 276138

Step 1: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 529

529 = 23 x 23

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

LCM = 276138 = 2 x 3 x 3 x 23 x 23 x 29

Step 4: Therefore, the least common multiple of 522 and 529 is 276138.