Least Common Multiple of 8528 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 8528 and 8536 the smallest integer that is 9099376 that is divisible by both numbers.

Least Common Multiple (LCM) of 8528 and 8536 is 9099376.

LCM(8528,8536) = 9099376

LCM of 8528 and 8536

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

LCM of:
and

Least Common Multiple of 8528 and 8536

LCM of 8528 and 8536 is 9099376

Least common multiple can be found by multiplying the highest exponent prime factors of 8528 and 8536. First we will calculate the prime factors of 8528 and 8536.

Prime Factorization of 8528


2 8528
2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 8528 are 2, 13,41. Prime factorization of 8528 in exponential form is:

8528 = 24×131×411

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 8528 and 8536.

LCM(8528,8536) = 24×111×131×411×971
LCM(8528,8536) = 9099376

Factors of 8528

List of positive integer factors of 8528 that divides 8528 without a remainder.

1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528

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 8528 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 8528 and 8536, than apply into the LCM equation.

GCF(8528,8536) = 8
LCM(8528,8536) = ( 8528 × 8536) / 8
LCM(8528,8536) = 72795008 / 8
LCM(8528,8536) = 9099376

Properties of LCM 8528 and 8536

(i) The LCM of 8536 and 8528 is associative

LCM of 8528 and 8536 = LCM of 8536 and 8528

Related Least Common Multiples of 8528

Related Least Common Multiples of 8536

Frequently Asked Questions on LCM of 8528 and 8536

1. What is the LCM of 8528 and 8536?

Answer: LCM of 8528 and 8536 is 9099376.

2. What are the Factors of 8528?

Answer: Factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528. There are 20 integers that are factors of 8528. The greatest factor of 8528 is 8528.

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 8528 and 8536?

Answer:

Least Common Multiple of 8528 and 8536 = 9099376

Step 1: Find the prime factorization of 8528

8528 = 2 x 2 x 2 x 2 x 13 x 41

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 = 9099376 = 2 x 2 x 2 x 2 x 11 x 13 x 41 x 97

Step 4: Therefore, the least common multiple of 8528 and 8536 is 9099376.