Least Common Multiple of 522 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 522 and 523 the smallest integer that is 273006 that is divisible by both numbers.

Least Common Multiple (LCM) of 522 and 523 is 273006.

LCM(522,523) = 273006

LCM of 522 and 523

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

LCM of:
and

Least Common Multiple of 522 and 523

LCM of 522 and 523 is 273006

Least common multiple can be found by multiplying the highest exponent prime factors of 522 and 523. First we will calculate the prime factors of 522 and 523.

Prime Factorization of 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

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 522 and 523.

LCM(522,523) = 21×32×291×5231
LCM(522,523) = 273006

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Factors of 523

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

1, 523

Least Common Multiple of 522 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 522 and 523, than apply into the LCM equation.

GCF(522,523) = 1
LCM(522,523) = ( 522 × 523) / 1
LCM(522,523) = 273006 / 1
LCM(522,523) = 273006

Properties of LCM 522 and 523

(i) The LCM of 523 and 522 is associative

LCM of 522 and 523 = LCM of 523 and 522

Related Least Common Multiples of 522

Related Least Common Multiples of 523

Frequently Asked Questions on LCM of 522 and 523

1. What is the LCM of 522 and 523?

Answer: LCM of 522 and 523 is 273006.

2. What are the Factors of 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

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 522 and 523?

Answer:

Least Common Multiple of 522 and 523 = 273006

Step 1: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

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 = 273006 = 2 x 3 x 3 x 29 x 523

Step 4: Therefore, the least common multiple of 522 and 523 is 273006.