Least Common Multiple of 528 and 532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 528 and 532 the smallest integer that is 70224 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 532 is 70224.

LCM(528,532) = 70224

LCM of 528 and 532

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

LCM of:
and

Least Common Multiple of 528 and 532

LCM of 528 and 532 is 70224

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 532. First we will calculate the prime factors of 528 and 532.

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

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2, 7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 532.

LCM(528,532) = 24×31×71×111×191
LCM(528,532) = 70224

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

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Least Common Multiple of 528 and 532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 532, than apply into the LCM equation.

GCF(528,532) = 4
LCM(528,532) = ( 528 × 532) / 4
LCM(528,532) = 280896 / 4
LCM(528,532) = 70224

Properties of LCM 528 and 532

(i) The LCM of 532 and 528 is associative

LCM of 528 and 532 = LCM of 532 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 532

Frequently Asked Questions on LCM of 528 and 532

1. What is the LCM of 528 and 532?

Answer: LCM of 528 and 532 is 70224.

2. 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.

3. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

4. How to Find the LCM of 528 and 532?

Answer:

Least Common Multiple of 528 and 532 = 70224

Step 1: Find the prime factorization of 528

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

Step 2: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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

LCM = 70224 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 528 and 532 is 70224.