Least Common Multiple of 530 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 530 and 533 the smallest integer that is 282490 that is divisible by both numbers.

Least Common Multiple (LCM) of 530 and 533 is 282490.

LCM(530,533) = 282490

LCM of 530 and 533

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

LCM of:
and

Least Common Multiple of 530 and 533

LCM of 530 and 533 is 282490

Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 533. First we will calculate the prime factors of 530 and 533.

Prime Factorization of 530


2 530
5 265
53 53
1

Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

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 530 and 533.

LCM(530,533) = 21×51×131×411×531
LCM(530,533) = 282490

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Factors of 533

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

1, 13, 41, 533

Least Common Multiple of 530 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 530 and 533, than apply into the LCM equation.

GCF(530,533) = 1
LCM(530,533) = ( 530 × 533) / 1
LCM(530,533) = 282490 / 1
LCM(530,533) = 282490

Properties of LCM 530 and 533

(i) The LCM of 533 and 530 is associative

LCM of 530 and 533 = LCM of 533 and 530

Related Least Common Multiples of 530

Related Least Common Multiples of 533

Frequently Asked Questions on LCM of 530 and 533

1. What is the LCM of 530 and 533?

Answer: LCM of 530 and 533 is 282490.

2. What are the Factors of 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

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 530 and 533?

Answer:

Least Common Multiple of 530 and 533 = 282490

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

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 = 282490 = 2 x 5 x 13 x 41 x 53

Step 4: Therefore, the least common multiple of 530 and 533 is 282490.