Least Common Multiple of 516 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 516 and 522 the smallest integer that is 44892 that is divisible by both numbers.

Least Common Multiple (LCM) of 516 and 522 is 44892.

LCM(516,522) = 44892

LCM of 516 and 522

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

LCM of:
and

Least Common Multiple of 516 and 522

LCM of 516 and 522 is 44892

Least common multiple can be found by multiplying the highest exponent prime factors of 516 and 522. First we will calculate the prime factors of 516 and 522.

Prime Factorization of 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2, 3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

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 516 and 522.

LCM(516,522) = 22×32×291×431
LCM(516,522) = 44892

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 516 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 516 and 522, than apply into the LCM equation.

GCF(516,522) = 6
LCM(516,522) = ( 516 × 522) / 6
LCM(516,522) = 269352 / 6
LCM(516,522) = 44892

Properties of LCM 516 and 522

(i) The LCM of 522 and 516 is associative

LCM of 516 and 522 = LCM of 522 and 516

Related Least Common Multiples of 516

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 516 and 522

1. What is the LCM of 516 and 522?

Answer: LCM of 516 and 522 is 44892.

2. What are the Factors of 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

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 516 and 522?

Answer:

Least Common Multiple of 516 and 522 = 44892

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

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 = 44892 = 2 x 2 x 3 x 3 x 29 x 43

Step 4: Therefore, the least common multiple of 516 and 522 is 44892.