Least Common Multiple of 8516 and 8522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8516 and 8522 the smallest integer that is 36286676 that is divisible by both numbers.

Least Common Multiple (LCM) of 8516 and 8522 is 36286676.

LCM(8516,8522) = 36286676

LCM of 8516 and 8522

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

LCM of:
and

Least Common Multiple of 8516 and 8522

LCM of 8516 and 8522 is 36286676

Least common multiple can be found by multiplying the highest exponent prime factors of 8516 and 8522. First we will calculate the prime factors of 8516 and 8522.

Prime Factorization of 8516


2 8516
2 4258
2129 2129
1

Prime factors of 8516 are 2,2129. Prime factorization of 8516 in exponential form is:

8516 = 22×21291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8516 and 8522.

LCM(8516,8522) = 22×21291×42611
LCM(8516,8522) = 36286676

Factors of 8516

List of positive integer factors of 8516 that divides 8516 without a remainder.

1, 2, 4, 2129, 4258, 8516

Factors of 8522

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

1, 2, 4261, 8522

Least Common Multiple of 8516 and 8522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8516 and 8522, than apply into the LCM equation.

GCF(8516,8522) = 2
LCM(8516,8522) = ( 8516 × 8522) / 2
LCM(8516,8522) = 72573352 / 2
LCM(8516,8522) = 36286676

Properties of LCM 8516 and 8522

(i) The LCM of 8522 and 8516 is associative

LCM of 8516 and 8522 = LCM of 8522 and 8516

Related Least Common Multiples of 8516

Related Least Common Multiples of 8522

Frequently Asked Questions on LCM of 8516 and 8522

1. What is the LCM of 8516 and 8522?

Answer: LCM of 8516 and 8522 is 36286676.

2. What are the Factors of 8516?

Answer: Factors of 8516 are 1, 2, 4, 2129, 4258, 8516. There are 6 integers that are factors of 8516. The greatest factor of 8516 is 8516.

3. 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.

4. How to Find the LCM of 8516 and 8522?

Answer:

Least Common Multiple of 8516 and 8522 = 36286676

Step 1: Find the prime factorization of 8516

8516 = 2 x 2 x 2129

Step 2: Find the prime factorization of 8522

8522 = 2 x 4261

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

LCM = 36286676 = 2 x 2 x 2129 x 4261

Step 4: Therefore, the least common multiple of 8516 and 8522 is 36286676.