Least Common Multiple of 521 and 529

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 529 the smallest integer that is 275609 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 529 is 275609.

LCM(521,529) = 275609

LCM of 521 and 529

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

LCM of:
and

Least Common Multiple of 521 and 529

LCM of 521 and 529 is 275609

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 529. First we will calculate the prime factors of 521 and 529.

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 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 529.

LCM(521,529) = 232×5211
LCM(521,529) = 275609

Factors of 521

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

1, 521

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Least Common Multiple of 521 and 529 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 529, than apply into the LCM equation.

GCF(521,529) = 1
LCM(521,529) = ( 521 × 529) / 1
LCM(521,529) = 275609 / 1
LCM(521,529) = 275609

Properties of LCM 521 and 529

(i) The LCM of 529 and 521 is associative

LCM of 521 and 529 = LCM of 529 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 529

Frequently Asked Questions on LCM of 521 and 529

1. What is the LCM of 521 and 529?

Answer: LCM of 521 and 529 is 275609.

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 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

4. How to Find the LCM of 521 and 529?

Answer:

Least Common Multiple of 521 and 529 = 275609

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 529

529 = 23 x 23

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

LCM = 275609 = 23 x 23 x 521

Step 4: Therefore, the least common multiple of 521 and 529 is 275609.