Least Common Multiple of 531 and 538

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 538 the smallest integer that is 285678 that is divisible by both numbers.

Least Common Multiple (LCM) of 531 and 538 is 285678.

LCM(531,538) = 285678

LCM of 531 and 538

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

LCM of:
and

Least Common Multiple of 531 and 538

LCM of 531 and 538 is 285678

Least common multiple can be found by multiplying the highest exponent prime factors of 531 and 538. First we will calculate the prime factors of 531 and 538.

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 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 531 and 538.

LCM(531,538) = 21×32×591×2691
LCM(531,538) = 285678

Factors of 531

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

1, 3, 9, 59, 177, 531

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Least Common Multiple of 531 and 538 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 538, than apply into the LCM equation.

GCF(531,538) = 1
LCM(531,538) = ( 531 × 538) / 1
LCM(531,538) = 285678 / 1
LCM(531,538) = 285678

Properties of LCM 531 and 538

(i) The LCM of 538 and 531 is associative

LCM of 531 and 538 = LCM of 538 and 531

Related Least Common Multiples of 531

Related Least Common Multiples of 538

Frequently Asked Questions on LCM of 531 and 538

1. What is the LCM of 531 and 538?

Answer: LCM of 531 and 538 is 285678.

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 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

4. How to Find the LCM of 531 and 538?

Answer:

Least Common Multiple of 531 and 538 = 285678

Step 1: Find the prime factorization of 531

531 = 3 x 3 x 59

Step 2: Find the prime factorization of 538

538 = 2 x 269

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

LCM = 285678 = 2 x 3 x 3 x 59 x 269

Step 4: Therefore, the least common multiple of 531 and 538 is 285678.