Least Common Multiple of 521 and 522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 521 and 522 the smallest integer that is 271962 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 522 is 271962.

LCM(521,522) = 271962

LCM of 521 and 522

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

LCM of:
and

Least Common Multiple of 521 and 522

LCM of 521 and 522 is 271962

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 522. First we will calculate the prime factors of 521 and 522.

Prime Factorization of 521


521 521
1

Prime factors of 521 are 521. Prime factorization of 521 in exponential form is:

521 = 5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 522.

LCM(521,522) = 21×32×291×5211
LCM(521,522) = 271962

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1, 521

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

Least Common Multiple of 521 and 522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 521 and 522, than apply into the LCM equation.

GCF(521,522) = 1
LCM(521,522) = ( 521 × 522) / 1
LCM(521,522) = 271962 / 1
LCM(521,522) = 271962

Properties of LCM 521 and 522

(i) The LCM of 522 and 521 is associative

LCM of 521 and 522 = LCM of 522 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 521 and 522

1. What is the LCM of 521 and 522?

Answer: LCM of 521 and 522 is 271962.

2. What are the Factors of 521?

Answer: Factors of 521 are 1, 521. There are 2 integers that are factors of 521. The greatest factor of 521 is 521.

3. 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.

4. How to Find the LCM of 521 and 522?

Answer:

Least Common Multiple of 521 and 522 = 271962

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 522

522 = 2 x 3 x 3 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 = 271962 = 2 x 3 x 3 x 29 x 521

Step 4: Therefore, the least common multiple of 521 and 522 is 271962.