Least Common Multiple of 520 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 520 and 528 the smallest integer that is 34320 that is divisible by both numbers.

Least Common Multiple (LCM) of 520 and 528 is 34320.

LCM(520,528) = 34320

LCM of 520 and 528

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

LCM of:
and

Least Common Multiple of 520 and 528

LCM of 520 and 528 is 34320

Least common multiple can be found by multiplying the highest exponent prime factors of 520 and 528. First we will calculate the prime factors of 520 and 528.

Prime Factorization of 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

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 520 and 528.

LCM(520,528) = 24×31×51×111×131
LCM(520,528) = 34320

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 520 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 520 and 528, than apply into the LCM equation.

GCF(520,528) = 8
LCM(520,528) = ( 520 × 528) / 8
LCM(520,528) = 274560 / 8
LCM(520,528) = 34320

Properties of LCM 520 and 528

(i) The LCM of 528 and 520 is associative

LCM of 520 and 528 = LCM of 528 and 520

Related Least Common Multiples of 520

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 520 and 528

1. What is the LCM of 520 and 528?

Answer: LCM of 520 and 528 is 34320.

2. What are the Factors of 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

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 520 and 528?

Answer:

Least Common Multiple of 520 and 528 = 34320

Step 1: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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 = 34320 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 520 and 528 is 34320.