Least Common Multiple of 524 and 531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 524 and 531 the smallest integer that is 278244 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 531 is 278244.

LCM(524,531) = 278244

LCM of 524 and 531

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

LCM of:
and

Least Common Multiple of 524 and 531

LCM of 524 and 531 is 278244

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 531. First we will calculate the prime factors of 524 and 531.

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

Prime Factorization of 531


3 531
3 177
59 59
1

Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:

531 = 32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 531.

LCM(524,531) = 22×32×591×1311
LCM(524,531) = 278244

Factors of 524

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

1, 2, 4, 131, 262, 524

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Least Common Multiple of 524 and 531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 531, than apply into the LCM equation.

GCF(524,531) = 1
LCM(524,531) = ( 524 × 531) / 1
LCM(524,531) = 278244 / 1
LCM(524,531) = 278244

Properties of LCM 524 and 531

(i) The LCM of 531 and 524 is associative

LCM of 524 and 531 = LCM of 531 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 524 and 531

1. What is the LCM of 524 and 531?

Answer: LCM of 524 and 531 is 278244.

2. 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.

3. What are the Factors of 531?

Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.

4. How to Find the LCM of 524 and 531?

Answer:

Least Common Multiple of 524 and 531 = 278244

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

Step 2: Find the prime factorization of 531

531 = 3 x 3 x 59

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

LCM = 278244 = 2 x 2 x 3 x 3 x 59 x 131

Step 4: Therefore, the least common multiple of 524 and 531 is 278244.