Least Common Multiple of 523 and 527

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 527 the smallest integer that is 275621 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 527 is 275621.

LCM(523,527) = 275621

LCM of 523 and 527

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

LCM of:
and

Least Common Multiple of 523 and 527

LCM of 523 and 527 is 275621

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 527. First we will calculate the prime factors of 523 and 527.

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 527


17 527
31 31
1

Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:

527 = 171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 527.

LCM(523,527) = 171×311×5231
LCM(523,527) = 275621

Factors of 523

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

1, 523

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Least Common Multiple of 523 and 527 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 527, than apply into the LCM equation.

GCF(523,527) = 1
LCM(523,527) = ( 523 × 527) / 1
LCM(523,527) = 275621 / 1
LCM(523,527) = 275621

Properties of LCM 523 and 527

(i) The LCM of 527 and 523 is associative

LCM of 523 and 527 = LCM of 527 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 527

Frequently Asked Questions on LCM of 523 and 527

1. What is the LCM of 523 and 527?

Answer: LCM of 523 and 527 is 275621.

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 527?

Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.

4. How to Find the LCM of 523 and 527?

Answer:

Least Common Multiple of 523 and 527 = 275621

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 527

527 = 17 x 31

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

LCM = 275621 = 17 x 31 x 523

Step 4: Therefore, the least common multiple of 523 and 527 is 275621.