Least Common Multiple of 520 and 523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 520 and 523 the smallest integer that is 271960 that is divisible by both numbers.

Least Common Multiple (LCM) of 520 and 523 is 271960.

LCM(520,523) = 271960

LCM of 520 and 523

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

LCM of:
and

Least Common Multiple of 520 and 523

LCM of 520 and 523 is 271960

Least common multiple can be found by multiplying the highest exponent prime factors of 520 and 523. First we will calculate the prime factors of 520 and 523.

Prime Factorization of 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

Prime Factorization of 523


523 523
1

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

523 = 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 520 and 523.

LCM(520,523) = 23×51×131×5231
LCM(520,523) = 271960

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Factors of 523

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

1, 523

Least Common Multiple of 520 and 523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 520 and 523, than apply into the LCM equation.

GCF(520,523) = 1
LCM(520,523) = ( 520 × 523) / 1
LCM(520,523) = 271960 / 1
LCM(520,523) = 271960

Properties of LCM 520 and 523

(i) The LCM of 523 and 520 is associative

LCM of 520 and 523 = LCM of 523 and 520

Related Least Common Multiples of 520

Related Least Common Multiples of 523

Frequently Asked Questions on LCM of 520 and 523

1. What is the LCM of 520 and 523?

Answer: LCM of 520 and 523 is 271960.

2. What are the Factors of 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

3. 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.

4. How to Find the LCM of 520 and 523?

Answer:

Least Common Multiple of 520 and 523 = 271960

Step 1: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 523

523 = 523

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

LCM = 271960 = 2 x 2 x 2 x 5 x 13 x 523

Step 4: Therefore, the least common multiple of 520 and 523 is 271960.