Least Common Multiple of 8524 and 8532

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 8532 the smallest integer that is 18181692 that is divisible by both numbers.

Least Common Multiple (LCM) of 8524 and 8532 is 18181692.

LCM(8524,8532) = 18181692

LCM of 8524 and 8532

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

LCM of:
and

Least Common Multiple of 8524 and 8532

LCM of 8524 and 8532 is 18181692

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8532. First we will calculate the prime factors of 8524 and 8532.

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 8532


2 8532
2 4266
3 2133
3 711
3 237
79 79
1

Prime factors of 8532 are 2, 3,79. Prime factorization of 8532 in exponential form is:

8532 = 22×33×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8532.

LCM(8524,8532) = 22×33×791×21311
LCM(8524,8532) = 18181692

Factors of 8524

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

1, 2, 4, 2131, 4262, 8524

Factors of 8532

List of positive integer factors of 8532 that divides 8532 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532

Least Common Multiple of 8524 and 8532 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 8532, than apply into the LCM equation.

GCF(8524,8532) = 4
LCM(8524,8532) = ( 8524 × 8532) / 4
LCM(8524,8532) = 72726768 / 4
LCM(8524,8532) = 18181692

Properties of LCM 8524 and 8532

(i) The LCM of 8532 and 8524 is associative

LCM of 8524 and 8532 = LCM of 8532 and 8524

Related Least Common Multiples of 8524

Related Least Common Multiples of 8532

Frequently Asked Questions on LCM of 8524 and 8532

1. What is the LCM of 8524 and 8532?

Answer: LCM of 8524 and 8532 is 18181692.

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 8532?

Answer: Factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532. There are 24 integers that are factors of 8532. The greatest factor of 8532 is 8532.

4. How to Find the LCM of 8524 and 8532?

Answer:

Least Common Multiple of 8524 and 8532 = 18181692

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8532

8532 = 2 x 2 x 3 x 3 x 3 x 79

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

LCM = 18181692 = 2 x 2 x 3 x 3 x 3 x 79 x 2131

Step 4: Therefore, the least common multiple of 8524 and 8532 is 18181692.