Least Common Multiple of 521 and 528

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 528 the smallest integer that is 275088 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 528 is 275088.

LCM(521,528) = 275088

LCM of 521 and 528

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

LCM of:
and

Least Common Multiple of 521 and 528

LCM of 521 and 528 is 275088

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 528. First we will calculate the prime factors of 521 and 528.

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 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 528.

LCM(521,528) = 24×31×111×5211
LCM(521,528) = 275088

Factors of 521

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

1, 521

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Least Common Multiple of 521 and 528 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 528, than apply into the LCM equation.

GCF(521,528) = 1
LCM(521,528) = ( 521 × 528) / 1
LCM(521,528) = 275088 / 1
LCM(521,528) = 275088

Properties of LCM 521 and 528

(i) The LCM of 528 and 521 is associative

LCM of 521 and 528 = LCM of 528 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 521 and 528

1. What is the LCM of 521 and 528?

Answer: LCM of 521 and 528 is 275088.

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 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

4. How to Find the LCM of 521 and 528?

Answer:

Least Common Multiple of 521 and 528 = 275088

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 275088 = 2 x 2 x 2 x 2 x 3 x 11 x 521

Step 4: Therefore, the least common multiple of 521 and 528 is 275088.