Least Common Multiple of 523 and 524

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 524 the smallest integer that is 274052 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 524 is 274052.

LCM(523,524) = 274052

LCM of 523 and 524

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

LCM of:
and

Least Common Multiple of 523 and 524

LCM of 523 and 524 is 274052

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 524. First we will calculate the prime factors of 523 and 524.

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 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 524.

LCM(523,524) = 22×1311×5231
LCM(523,524) = 274052

Factors of 523

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

1, 523

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 523 and 524 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 524, than apply into the LCM equation.

GCF(523,524) = 1
LCM(523,524) = ( 523 × 524) / 1
LCM(523,524) = 274052 / 1
LCM(523,524) = 274052

Properties of LCM 523 and 524

(i) The LCM of 524 and 523 is associative

LCM of 523 and 524 = LCM of 524 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 523 and 524

1. What is the LCM of 523 and 524?

Answer: LCM of 523 and 524 is 274052.

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 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 523 and 524?

Answer:

Least Common Multiple of 523 and 524 = 274052

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 274052 = 2 x 2 x 131 x 523

Step 4: Therefore, the least common multiple of 523 and 524 is 274052.