Least Common Multiple of 531 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 531 and 534 the smallest integer that is 94518 that is divisible by both numbers.

Least Common Multiple (LCM) of 531 and 534 is 94518.

LCM(531,534) = 94518

LCM of 531 and 534

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

LCM of:
and

Least Common Multiple of 531 and 534

LCM of 531 and 534 is 94518

Least common multiple can be found by multiplying the highest exponent prime factors of 531 and 534. First we will calculate the prime factors of 531 and 534.

Prime Factorization of 531


3 531
3 177
59 59
1

Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:

531 = 32×591

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 531 and 534.

LCM(531,534) = 21×32×591×891
LCM(531,534) = 94518

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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 531 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 531 and 534, than apply into the LCM equation.

GCF(531,534) = 3
LCM(531,534) = ( 531 × 534) / 3
LCM(531,534) = 283554 / 3
LCM(531,534) = 94518

Properties of LCM 531 and 534

(i) The LCM of 534 and 531 is associative

LCM of 531 and 534 = LCM of 534 and 531

Related Least Common Multiples of 531

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 531 and 534

1. What is the LCM of 531 and 534?

Answer: LCM of 531 and 534 is 94518.

2. What are the Factors of 531?

Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.

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 531 and 534?

Answer:

Least Common Multiple of 531 and 534 = 94518

Step 1: Find the prime factorization of 531

531 = 3 x 3 x 59

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 = 94518 = 2 x 3 x 3 x 59 x 89

Step 4: Therefore, the least common multiple of 531 and 534 is 94518.