Least Common Multiple of 8525 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 8525 and 8532 the smallest integer that is 72735300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8525 and 8532 is 72735300.

LCM(8525,8532) = 72735300

LCM of 8525 and 8532

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

LCM of:
and

Least Common Multiple of 8525 and 8532

LCM of 8525 and 8532 is 72735300

Least common multiple can be found by multiplying the highest exponent prime factors of 8525 and 8532. First we will calculate the prime factors of 8525 and 8532.

Prime Factorization of 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5, 11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

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 8525 and 8532.

LCM(8525,8532) = 22×33×52×111×311×791
LCM(8525,8532) = 72735300

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525

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 8525 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 8525 and 8532, than apply into the LCM equation.

GCF(8525,8532) = 1
LCM(8525,8532) = ( 8525 × 8532) / 1
LCM(8525,8532) = 72735300 / 1
LCM(8525,8532) = 72735300

Properties of LCM 8525 and 8532

(i) The LCM of 8532 and 8525 is associative

LCM of 8525 and 8532 = LCM of 8532 and 8525

Related Least Common Multiples of 8525

Related Least Common Multiples of 8532

Frequently Asked Questions on LCM of 8525 and 8532

1. What is the LCM of 8525 and 8532?

Answer: LCM of 8525 and 8532 is 72735300.

2. What are the Factors of 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

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 8525 and 8532?

Answer:

Least Common Multiple of 8525 and 8532 = 72735300

Step 1: Find the prime factorization of 8525

8525 = 5 x 5 x 11 x 31

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 = 72735300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 31 x 79

Step 4: Therefore, the least common multiple of 8525 and 8532 is 72735300.