Least Common Multiple of 521 and 525

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 525 the smallest integer that is 273525 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 525 is 273525.

LCM(521,525) = 273525

LCM of 521 and 525

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

LCM of:
and

Least Common Multiple of 521 and 525

LCM of 521 and 525 is 273525

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 525. First we will calculate the prime factors of 521 and 525.

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 525


3 525
5 175
5 35
7 7
1

Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:

525 = 31×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 525.

LCM(521,525) = 31×52×71×5211
LCM(521,525) = 273525

Factors of 521

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

1, 521

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Least Common Multiple of 521 and 525 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 525, than apply into the LCM equation.

GCF(521,525) = 1
LCM(521,525) = ( 521 × 525) / 1
LCM(521,525) = 273525 / 1
LCM(521,525) = 273525

Properties of LCM 521 and 525

(i) The LCM of 525 and 521 is associative

LCM of 521 and 525 = LCM of 525 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 525

Frequently Asked Questions on LCM of 521 and 525

1. What is the LCM of 521 and 525?

Answer: LCM of 521 and 525 is 273525.

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 525?

Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.

4. How to Find the LCM of 521 and 525?

Answer:

Least Common Multiple of 521 and 525 = 273525

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

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

LCM = 273525 = 3 x 5 x 5 x 7 x 521

Step 4: Therefore, the least common multiple of 521 and 525 is 273525.