Least Common Multiple of 532 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 532 and 533 the smallest integer that is 283556 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 533 is 283556.

LCM(532,533) = 283556

LCM of 532 and 533

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

LCM of:
and

Least Common Multiple of 532 and 533

LCM of 532 and 533 is 283556

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 533. First we will calculate the prime factors of 532 and 533.

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

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 532 and 533.

LCM(532,533) = 22×71×131×191×411
LCM(532,533) = 283556

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

Factors of 533

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

1, 13, 41, 533

Least Common Multiple of 532 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 532 and 533, than apply into the LCM equation.

GCF(532,533) = 1
LCM(532,533) = ( 532 × 533) / 1
LCM(532,533) = 283556 / 1
LCM(532,533) = 283556

Properties of LCM 532 and 533

(i) The LCM of 533 and 532 is associative

LCM of 532 and 533 = LCM of 533 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 533

Frequently Asked Questions on LCM of 532 and 533

1. What is the LCM of 532 and 533?

Answer: LCM of 532 and 533 is 283556.

2. 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.

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 532 and 533?

Answer:

Least Common Multiple of 532 and 533 = 283556

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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 = 283556 = 2 x 2 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 532 and 533 is 283556.