Least Common Multiple of 520 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 520 and 522 the smallest integer that is 135720 that is divisible by both numbers.

Least Common Multiple (LCM) of 520 and 522 is 135720.

LCM(520,522) = 135720

LCM of 520 and 522

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

LCM of:
and

Least Common Multiple of 520 and 522

LCM of 520 and 522 is 135720

Least common multiple can be found by multiplying the highest exponent prime factors of 520 and 522. First we will calculate the prime factors of 520 and 522.

Prime Factorization of 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

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 520 and 522.

LCM(520,522) = 23×32×51×131×291
LCM(520,522) = 135720

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 520 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 520 and 522, than apply into the LCM equation.

GCF(520,522) = 2
LCM(520,522) = ( 520 × 522) / 2
LCM(520,522) = 271440 / 2
LCM(520,522) = 135720

Properties of LCM 520 and 522

(i) The LCM of 522 and 520 is associative

LCM of 520 and 522 = LCM of 522 and 520

Related Least Common Multiples of 520

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 520 and 522

1. What is the LCM of 520 and 522?

Answer: LCM of 520 and 522 is 135720.

2. What are the Factors of 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

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 520 and 522?

Answer:

Least Common Multiple of 520 and 522 = 135720

Step 1: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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 = 135720 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 29

Step 4: Therefore, the least common multiple of 520 and 522 is 135720.