Least Common Multiple of 516 and 521

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 521 the smallest integer that is 268836 that is divisible by both numbers.

Least Common Multiple (LCM) of 516 and 521 is 268836.

LCM(516,521) = 268836

LCM of 516 and 521

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

LCM of:
and

Least Common Multiple of 516 and 521

LCM of 516 and 521 is 268836

Least common multiple can be found by multiplying the highest exponent prime factors of 516 and 521. First we will calculate the prime factors of 516 and 521.

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 521


521 521
1

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

521 = 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 516 and 521.

LCM(516,521) = 22×31×431×5211
LCM(516,521) = 268836

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 521

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

1, 521

Least Common Multiple of 516 and 521 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 521, than apply into the LCM equation.

GCF(516,521) = 1
LCM(516,521) = ( 516 × 521) / 1
LCM(516,521) = 268836 / 1
LCM(516,521) = 268836

Properties of LCM 516 and 521

(i) The LCM of 521 and 516 is associative

LCM of 516 and 521 = LCM of 521 and 516

Related Least Common Multiples of 516

Related Least Common Multiples of 521

Frequently Asked Questions on LCM of 516 and 521

1. What is the LCM of 516 and 521?

Answer: LCM of 516 and 521 is 268836.

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 521?

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

4. How to Find the LCM of 516 and 521?

Answer:

Least Common Multiple of 516 and 521 = 268836

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 521

521 = 521

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

LCM = 268836 = 2 x 2 x 3 x 43 x 521

Step 4: Therefore, the least common multiple of 516 and 521 is 268836.