Least Common Multiple of 8522 and 8528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8522 and 8528 the smallest integer that is 36337808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8522 and 8528 is 36337808.

LCM(8522,8528) = 36337808

LCM of 8522 and 8528

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

LCM of:
and

Least Common Multiple of 8522 and 8528

LCM of 8522 and 8528 is 36337808

Least common multiple can be found by multiplying the highest exponent prime factors of 8522 and 8528. First we will calculate the prime factors of 8522 and 8528.

Prime Factorization of 8522


2 8522
4261 4261
1

Prime factors of 8522 are 2,4261. Prime factorization of 8522 in exponential form is:

8522 = 21×42611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8522 and 8528.

LCM(8522,8528) = 24×131×411×42611
LCM(8522,8528) = 36337808

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1, 2, 4261, 8522

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

Least Common Multiple of 8522 and 8528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8522 and 8528, than apply into the LCM equation.

GCF(8522,8528) = 2
LCM(8522,8528) = ( 8522 × 8528) / 2
LCM(8522,8528) = 72675616 / 2
LCM(8522,8528) = 36337808

Properties of LCM 8522 and 8528

(i) The LCM of 8528 and 8522 is associative

LCM of 8522 and 8528 = LCM of 8528 and 8522

Related Least Common Multiples of 8522

Related Least Common Multiples of 8528

Frequently Asked Questions on LCM of 8522 and 8528

1. What is the LCM of 8522 and 8528?

Answer: LCM of 8522 and 8528 is 36337808.

2. What are the Factors of 8522?

Answer: Factors of 8522 are 1, 2, 4261, 8522. There are 4 integers that are factors of 8522. The greatest factor of 8522 is 8522.

3. 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.

4. How to Find the LCM of 8522 and 8528?

Answer:

Least Common Multiple of 8522 and 8528 = 36337808

Step 1: Find the prime factorization of 8522

8522 = 2 x 4261

Step 2: Find the prime factorization of 8528

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

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

LCM = 36337808 = 2 x 2 x 2 x 2 x 13 x 41 x 4261

Step 4: Therefore, the least common multiple of 8522 and 8528 is 36337808.