Least Common Multiple of 528 and 533

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 533 the smallest integer that is 281424 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 533 is 281424.

LCM(528,533) = 281424

LCM of 528 and 533

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

LCM of:
and

Least Common Multiple of 528 and 533

LCM of 528 and 533 is 281424

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 533. First we will calculate the prime factors of 528 and 533.

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 533


13 533
41 41
1

Prime factors of 533 are 13,41. Prime factorization of 533 in exponential form is:

533 = 131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 533.

LCM(528,533) = 24×31×111×131×411
LCM(528,533) = 281424

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 533

List of positive integer factors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Least Common Multiple of 528 and 533 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 533, than apply into the LCM equation.

GCF(528,533) = 1
LCM(528,533) = ( 528 × 533) / 1
LCM(528,533) = 281424 / 1
LCM(528,533) = 281424

Properties of LCM 528 and 533

(i) The LCM of 533 and 528 is associative

LCM of 528 and 533 = LCM of 533 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 533

Frequently Asked Questions on LCM of 528 and 533

1. What is the LCM of 528 and 533?

Answer: LCM of 528 and 533 is 281424.

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 533?

Answer: Factors of 533 are 1, 13, 41, 533. There are 4 integers that are factors of 533. The greatest factor of 533 is 533.

4. How to Find the LCM of 528 and 533?

Answer:

Least Common Multiple of 528 and 533 = 281424

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 533

533 = 13 x 41

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

LCM = 281424 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 528 and 533 is 281424.