Least Common Multiple of 8524 and 8531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8524 and 8531 the smallest integer that is 72718244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8524 and 8531 is 72718244.

LCM(8524,8531) = 72718244

LCM of 8524 and 8531

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

LCM of:
and

Least Common Multiple of 8524 and 8531

LCM of 8524 and 8531 is 72718244

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8531. First we will calculate the prime factors of 8524 and 8531.

Prime Factorization of 8524


2 8524
2 4262
2131 2131
1

Prime factors of 8524 are 2,2131. Prime factorization of 8524 in exponential form is:

8524 = 22×21311

Prime Factorization of 8531


19 8531
449 449
1

Prime factors of 8531 are 19,449. Prime factorization of 8531 in exponential form is:

8531 = 191×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8531.

LCM(8524,8531) = 22×191×4491×21311
LCM(8524,8531) = 72718244

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1, 2, 4, 2131, 4262, 8524

Factors of 8531

List of positive integer factors of 8531 that divides 8531 without a remainder.

1, 19, 449, 8531

Least Common Multiple of 8524 and 8531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8524 and 8531, than apply into the LCM equation.

GCF(8524,8531) = 1
LCM(8524,8531) = ( 8524 × 8531) / 1
LCM(8524,8531) = 72718244 / 1
LCM(8524,8531) = 72718244

Properties of LCM 8524 and 8531

(i) The LCM of 8531 and 8524 is associative

LCM of 8524 and 8531 = LCM of 8531 and 8524

Related Least Common Multiples of 8524

Related Least Common Multiples of 8531

Frequently Asked Questions on LCM of 8524 and 8531

1. What is the LCM of 8524 and 8531?

Answer: LCM of 8524 and 8531 is 72718244.

2. What are the Factors of 8524?

Answer: Factors of 8524 are 1, 2, 4, 2131, 4262, 8524. There are 6 integers that are factors of 8524. The greatest factor of 8524 is 8524.

3. What are the Factors of 8531?

Answer: Factors of 8531 are 1, 19, 449, 8531. There are 4 integers that are factors of 8531. The greatest factor of 8531 is 8531.

4. How to Find the LCM of 8524 and 8531?

Answer:

Least Common Multiple of 8524 and 8531 = 72718244

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8531

8531 = 19 x 449

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

LCM = 72718244 = 2 x 2 x 19 x 449 x 2131

Step 4: Therefore, the least common multiple of 8524 and 8531 is 72718244.