Least Common Multiple of 533 and 539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 533 and 539 the smallest integer that is 287287 that is divisible by both numbers.

Least Common Multiple (LCM) of 533 and 539 is 287287.

LCM(533,539) = 287287

LCM of 533 and 539

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

LCM of:
and

Least Common Multiple of 533 and 539

LCM of 533 and 539 is 287287

Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 539. First we will calculate the prime factors of 533 and 539.

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

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 539.

LCM(533,539) = 72×111×131×411
LCM(533,539) = 287287

Factors of 533

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

1, 13, 41, 533

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Least Common Multiple of 533 and 539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 533 and 539, than apply into the LCM equation.

GCF(533,539) = 1
LCM(533,539) = ( 533 × 539) / 1
LCM(533,539) = 287287 / 1
LCM(533,539) = 287287

Properties of LCM 533 and 539

(i) The LCM of 539 and 533 is associative

LCM of 533 and 539 = LCM of 539 and 533

Related Least Common Multiples of 533

Related Least Common Multiples of 539

Frequently Asked Questions on LCM of 533 and 539

1. What is the LCM of 533 and 539?

Answer: LCM of 533 and 539 is 287287.

2. 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.

3. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

4. How to Find the LCM of 533 and 539?

Answer:

Least Common Multiple of 533 and 539 = 287287

Step 1: Find the prime factorization of 533

533 = 13 x 41

Step 2: Find the prime factorization of 539

539 = 7 x 7 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 = 287287 = 7 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 533 and 539 is 287287.