Least Common Multiple of 523 and 531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 523 and 531 the smallest integer that is 277713 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 531 is 277713.

LCM(523,531) = 277713

LCM of 523 and 531

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

LCM of:
and

Least Common Multiple of 523 and 531

LCM of 523 and 531 is 277713

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 531. First we will calculate the prime factors of 523 and 531.

Prime Factorization of 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 531.

LCM(523,531) = 32×591×5231
LCM(523,531) = 277713

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

Factors of 531

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

1, 3, 9, 59, 177, 531

Least Common Multiple of 523 and 531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 523 and 531, than apply into the LCM equation.

GCF(523,531) = 1
LCM(523,531) = ( 523 × 531) / 1
LCM(523,531) = 277713 / 1
LCM(523,531) = 277713

Properties of LCM 523 and 531

(i) The LCM of 531 and 523 is associative

LCM of 523 and 531 = LCM of 531 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 523 and 531

1. What is the LCM of 523 and 531?

Answer: LCM of 523 and 531 is 277713.

2. What are the Factors of 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

3. 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.

4. How to Find the LCM of 523 and 531?

Answer:

Least Common Multiple of 523 and 531 = 277713

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 531

531 = 3 x 3 x 59

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

LCM = 277713 = 3 x 3 x 59 x 523

Step 4: Therefore, the least common multiple of 523 and 531 is 277713.