Least Common Multiple of 533 and 536

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 536 the smallest integer that is 285688 that is divisible by both numbers.

Least Common Multiple (LCM) of 533 and 536 is 285688.

LCM(533,536) = 285688

LCM of 533 and 536

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

LCM of:
and

Least Common Multiple of 533 and 536

LCM of 533 and 536 is 285688

Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 536. First we will calculate the prime factors of 533 and 536.

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 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 536.

LCM(533,536) = 23×131×411×671
LCM(533,536) = 285688

Factors of 533

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

1, 13, 41, 533

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Least Common Multiple of 533 and 536 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 536, than apply into the LCM equation.

GCF(533,536) = 1
LCM(533,536) = ( 533 × 536) / 1
LCM(533,536) = 285688 / 1
LCM(533,536) = 285688

Properties of LCM 533 and 536

(i) The LCM of 536 and 533 is associative

LCM of 533 and 536 = LCM of 536 and 533

Related Least Common Multiples of 533

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 533 and 536

1. What is the LCM of 533 and 536?

Answer: LCM of 533 and 536 is 285688.

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 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

4. How to Find the LCM of 533 and 536?

Answer:

Least Common Multiple of 533 and 536 = 285688

Step 1: Find the prime factorization of 533

533 = 13 x 41

Step 2: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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

LCM = 285688 = 2 x 2 x 2 x 13 x 41 x 67

Step 4: Therefore, the least common multiple of 533 and 536 is 285688.