Least Common Multiple of 8529 and 8536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8529 and 8536 the smallest integer that is 72803544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8529 and 8536 is 72803544.

LCM(8529,8536) = 72803544

LCM of 8529 and 8536

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

LCM of:
and

Least Common Multiple of 8529 and 8536

LCM of 8529 and 8536 is 72803544

Least common multiple can be found by multiplying the highest exponent prime factors of 8529 and 8536. First we will calculate the prime factors of 8529 and 8536.

Prime Factorization of 8529


3 8529
2843 2843
1

Prime factors of 8529 are 3,2843. Prime factorization of 8529 in exponential form is:

8529 = 31×28431

Prime Factorization of 8536


2 8536
2 4268
2 2134
11 1067
97 97
1

Prime factors of 8536 are 2, 11,97. Prime factorization of 8536 in exponential form is:

8536 = 23×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8529 and 8536.

LCM(8529,8536) = 23×31×111×971×28431
LCM(8529,8536) = 72803544

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1, 3, 2843, 8529

Factors of 8536

List of positive integer factors of 8536 that divides 8536 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536

Least Common Multiple of 8529 and 8536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8529 and 8536, than apply into the LCM equation.

GCF(8529,8536) = 1
LCM(8529,8536) = ( 8529 × 8536) / 1
LCM(8529,8536) = 72803544 / 1
LCM(8529,8536) = 72803544

Properties of LCM 8529 and 8536

(i) The LCM of 8536 and 8529 is associative

LCM of 8529 and 8536 = LCM of 8536 and 8529

Related Least Common Multiples of 8529

Related Least Common Multiples of 8536

Frequently Asked Questions on LCM of 8529 and 8536

1. What is the LCM of 8529 and 8536?

Answer: LCM of 8529 and 8536 is 72803544.

2. What are the Factors of 8529?

Answer: Factors of 8529 are 1, 3, 2843, 8529. There are 4 integers that are factors of 8529. The greatest factor of 8529 is 8529.

3. What are the Factors of 8536?

Answer: Factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536. There are 16 integers that are factors of 8536. The greatest factor of 8536 is 8536.

4. How to Find the LCM of 8529 and 8536?

Answer:

Least Common Multiple of 8529 and 8536 = 72803544

Step 1: Find the prime factorization of 8529

8529 = 3 x 2843

Step 2: Find the prime factorization of 8536

8536 = 2 x 2 x 2 x 11 x 97

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

LCM = 72803544 = 2 x 2 x 2 x 3 x 11 x 97 x 2843

Step 4: Therefore, the least common multiple of 8529 and 8536 is 72803544.