Least Common Multiple of 529 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 529 and 534 the smallest integer that is 282486 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 534 is 282486.

LCM(529,534) = 282486

LCM of 529 and 534

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

LCM of:
and

Least Common Multiple of 529 and 534

LCM of 529 and 534 is 282486

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 534. First we will calculate the prime factors of 529 and 534.

Prime Factorization of 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

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 529 and 534.

LCM(529,534) = 21×31×232×891
LCM(529,534) = 282486

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

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 529 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 529 and 534, than apply into the LCM equation.

GCF(529,534) = 1
LCM(529,534) = ( 529 × 534) / 1
LCM(529,534) = 282486 / 1
LCM(529,534) = 282486

Properties of LCM 529 and 534

(i) The LCM of 534 and 529 is associative

LCM of 529 and 534 = LCM of 534 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 529 and 534

1. What is the LCM of 529 and 534?

Answer: LCM of 529 and 534 is 282486.

2. What are the Factors of 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

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 529 and 534?

Answer:

Least Common Multiple of 529 and 534 = 282486

Step 1: Find the prime factorization of 529

529 = 23 x 23

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 = 282486 = 2 x 3 x 23 x 23 x 89

Step 4: Therefore, the least common multiple of 529 and 534 is 282486.