Least Common Multiple of 8516 and 8521

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 8521 the smallest integer that is 72564836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8516 and 8521 is 72564836.

LCM(8516,8521) = 72564836

LCM of 8516 and 8521

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

LCM of:
and

Least Common Multiple of 8516 and 8521

LCM of 8516 and 8521 is 72564836

Least common multiple can be found by multiplying the highest exponent prime factors of 8516 and 8521. First we will calculate the prime factors of 8516 and 8521.

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 8521


8521 8521
1

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 85211

Now multiplying the highest exponent prime factors to calculate the LCM of 8516 and 8521.

LCM(8516,8521) = 22×21291×85211
LCM(8516,8521) = 72564836

Factors of 8516

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

1, 2, 4, 2129, 4258, 8516

Factors of 8521

List of positive integer factors of 8521 that divides 8521 without a remainder.

1, 8521

Least Common Multiple of 8516 and 8521 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 8521, than apply into the LCM equation.

GCF(8516,8521) = 1
LCM(8516,8521) = ( 8516 × 8521) / 1
LCM(8516,8521) = 72564836 / 1
LCM(8516,8521) = 72564836

Properties of LCM 8516 and 8521

(i) The LCM of 8521 and 8516 is associative

LCM of 8516 and 8521 = LCM of 8521 and 8516

Related Least Common Multiples of 8516

Related Least Common Multiples of 8521

Frequently Asked Questions on LCM of 8516 and 8521

1. What is the LCM of 8516 and 8521?

Answer: LCM of 8516 and 8521 is 72564836.

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 8521?

Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.

4. How to Find the LCM of 8516 and 8521?

Answer:

Least Common Multiple of 8516 and 8521 = 72564836

Step 1: Find the prime factorization of 8516

8516 = 2 x 2 x 2129

Step 2: Find the prime factorization of 8521

8521 = 8521

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

LCM = 72564836 = 2 x 2 x 2129 x 8521

Step 4: Therefore, the least common multiple of 8516 and 8521 is 72564836.