Least Common Multiple of 523 and 530

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 530 the smallest integer that is 277190 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 530 is 277190.

LCM(523,530) = 277190

LCM of 523 and 530

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

LCM of:
and

Least Common Multiple of 523 and 530

LCM of 523 and 530 is 277190

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 530. First we will calculate the prime factors of 523 and 530.

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 530


2 530
5 265
53 53
1

Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 530.

LCM(523,530) = 21×51×531×5231
LCM(523,530) = 277190

Factors of 523

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

1, 523

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Least Common Multiple of 523 and 530 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 530, than apply into the LCM equation.

GCF(523,530) = 1
LCM(523,530) = ( 523 × 530) / 1
LCM(523,530) = 277190 / 1
LCM(523,530) = 277190

Properties of LCM 523 and 530

(i) The LCM of 530 and 523 is associative

LCM of 523 and 530 = LCM of 530 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 530

Frequently Asked Questions on LCM of 523 and 530

1. What is the LCM of 523 and 530?

Answer: LCM of 523 and 530 is 277190.

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 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

4. How to Find the LCM of 523 and 530?

Answer:

Least Common Multiple of 523 and 530 = 277190

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 530

530 = 2 x 5 x 53

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

LCM = 277190 = 2 x 5 x 53 x 523

Step 4: Therefore, the least common multiple of 523 and 530 is 277190.