Least Common Multiple of 523 and 526

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 526 the smallest integer that is 275098 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 526 is 275098.

LCM(523,526) = 275098

LCM of 523 and 526

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

LCM of:
and

Least Common Multiple of 523 and 526

LCM of 523 and 526 is 275098

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 526. First we will calculate the prime factors of 523 and 526.

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 526


2 526
263 263
1

Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:

526 = 21×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 526.

LCM(523,526) = 21×2631×5231
LCM(523,526) = 275098

Factors of 523

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

1, 523

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Least Common Multiple of 523 and 526 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 526, than apply into the LCM equation.

GCF(523,526) = 1
LCM(523,526) = ( 523 × 526) / 1
LCM(523,526) = 275098 / 1
LCM(523,526) = 275098

Properties of LCM 523 and 526

(i) The LCM of 526 and 523 is associative

LCM of 523 and 526 = LCM of 526 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 526

Frequently Asked Questions on LCM of 523 and 526

1. What is the LCM of 523 and 526?

Answer: LCM of 523 and 526 is 275098.

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 526?

Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.

4. How to Find the LCM of 523 and 526?

Answer:

Least Common Multiple of 523 and 526 = 275098

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 526

526 = 2 x 263

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

LCM = 275098 = 2 x 263 x 523

Step 4: Therefore, the least common multiple of 523 and 526 is 275098.