Least Common Multiple of 521 and 524

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 524 the smallest integer that is 273004 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 524 is 273004.

LCM(521,524) = 273004

LCM of 521 and 524

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

LCM of:
and

Least Common Multiple of 521 and 524

LCM of 521 and 524 is 273004

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 524. First we will calculate the prime factors of 521 and 524.

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 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 524.

LCM(521,524) = 22×1311×5211
LCM(521,524) = 273004

Factors of 521

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

1, 521

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 521 and 524 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 524, than apply into the LCM equation.

GCF(521,524) = 1
LCM(521,524) = ( 521 × 524) / 1
LCM(521,524) = 273004 / 1
LCM(521,524) = 273004

Properties of LCM 521 and 524

(i) The LCM of 524 and 521 is associative

LCM of 521 and 524 = LCM of 524 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 521 and 524

1. What is the LCM of 521 and 524?

Answer: LCM of 521 and 524 is 273004.

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 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 521 and 524?

Answer:

Least Common Multiple of 521 and 524 = 273004

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 273004 = 2 x 2 x 131 x 521

Step 4: Therefore, the least common multiple of 521 and 524 is 273004.