Least Common Multiple of 513 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 513 and 521 the smallest integer that is 267273 that is divisible by both numbers.

Least Common Multiple (LCM) of 513 and 521 is 267273.

LCM(513,521) = 267273

LCM of 513 and 521

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

LCM of:
and

Least Common Multiple of 513 and 521

LCM of 513 and 521 is 267273

Least common multiple can be found by multiplying the highest exponent prime factors of 513 and 521. First we will calculate the prime factors of 513 and 521.

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

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 513 and 521.

LCM(513,521) = 33×191×5211
LCM(513,521) = 267273

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Factors of 521

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

1, 521

Least Common Multiple of 513 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 513 and 521, than apply into the LCM equation.

GCF(513,521) = 1
LCM(513,521) = ( 513 × 521) / 1
LCM(513,521) = 267273 / 1
LCM(513,521) = 267273

Properties of LCM 513 and 521

(i) The LCM of 521 and 513 is associative

LCM of 513 and 521 = LCM of 521 and 513

Related Least Common Multiples of 513

Related Least Common Multiples of 521

Frequently Asked Questions on LCM of 513 and 521

1. What is the LCM of 513 and 521?

Answer: LCM of 513 and 521 is 267273.

2. What are the Factors of 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

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 513 and 521?

Answer:

Least Common Multiple of 513 and 521 = 267273

Step 1: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

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 = 267273 = 3 x 3 x 3 x 19 x 521

Step 4: Therefore, the least common multiple of 513 and 521 is 267273.