Least Common Multiple of 524 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 524 and 528 the smallest integer that is 69168 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 528 is 69168.

LCM(524,528) = 69168

LCM of 524 and 528

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

LCM of:
and

Least Common Multiple of 524 and 528

LCM of 524 and 528 is 69168

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 528. First we will calculate the prime factors of 524 and 528.

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

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 524 and 528.

LCM(524,528) = 24×31×111×1311
LCM(524,528) = 69168

Factors of 524

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

1, 2, 4, 131, 262, 524

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 524 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 524 and 528, than apply into the LCM equation.

GCF(524,528) = 4
LCM(524,528) = ( 524 × 528) / 4
LCM(524,528) = 276672 / 4
LCM(524,528) = 69168

Properties of LCM 524 and 528

(i) The LCM of 528 and 524 is associative

LCM of 524 and 528 = LCM of 528 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 524 and 528

1. What is the LCM of 524 and 528?

Answer: LCM of 524 and 528 is 69168.

2. 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.

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 524 and 528?

Answer:

Least Common Multiple of 524 and 528 = 69168

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

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 = 69168 = 2 x 2 x 2 x 2 x 3 x 11 x 131

Step 4: Therefore, the least common multiple of 524 and 528 is 69168.