Least Common Multiple of 533 and 534

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 534 the smallest integer that is 284622 that is divisible by both numbers.

Least Common Multiple (LCM) of 533 and 534 is 284622.

LCM(533,534) = 284622

LCM of 533 and 534

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

LCM of:
and

Least Common Multiple of 533 and 534

LCM of 533 and 534 is 284622

Least common multiple can be found by multiplying the highest exponent prime factors of 533 and 534. First we will calculate the prime factors of 533 and 534.

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 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 533 and 534.

LCM(533,534) = 21×31×131×411×891
LCM(533,534) = 284622

Factors of 533

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

1, 13, 41, 533

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Least Common Multiple of 533 and 534 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 534, than apply into the LCM equation.

GCF(533,534) = 1
LCM(533,534) = ( 533 × 534) / 1
LCM(533,534) = 284622 / 1
LCM(533,534) = 284622

Properties of LCM 533 and 534

(i) The LCM of 534 and 533 is associative

LCM of 533 and 534 = LCM of 534 and 533

Related Least Common Multiples of 533

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 533 and 534

1. What is the LCM of 533 and 534?

Answer: LCM of 533 and 534 is 284622.

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 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

4. How to Find the LCM of 533 and 534?

Answer:

Least Common Multiple of 533 and 534 = 284622

Step 1: Find the prime factorization of 533

533 = 13 x 41

Step 2: Find the prime factorization of 534

534 = 2 x 3 x 89

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

LCM = 284622 = 2 x 3 x 13 x 41 x 89

Step 4: Therefore, the least common multiple of 533 and 534 is 284622.