Least Common Multiple of 8508 and 8516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8508 and 8516 the smallest integer that is 18113532 that is divisible by both numbers.

Least Common Multiple (LCM) of 8508 and 8516 is 18113532.

LCM(8508,8516) = 18113532

LCM of 8508 and 8516

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

LCM of:
and

Least Common Multiple of 8508 and 8516

LCM of 8508 and 8516 is 18113532

Least common multiple can be found by multiplying the highest exponent prime factors of 8508 and 8516. First we will calculate the prime factors of 8508 and 8516.

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8508 and 8516.

LCM(8508,8516) = 22×31×7091×21291
LCM(8508,8516) = 18113532

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508

Factors of 8516

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

1, 2, 4, 2129, 4258, 8516

Least Common Multiple of 8508 and 8516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8508 and 8516, than apply into the LCM equation.

GCF(8508,8516) = 4
LCM(8508,8516) = ( 8508 × 8516) / 4
LCM(8508,8516) = 72454128 / 4
LCM(8508,8516) = 18113532

Properties of LCM 8508 and 8516

(i) The LCM of 8516 and 8508 is associative

LCM of 8508 and 8516 = LCM of 8516 and 8508

Related Least Common Multiples of 8508

Related Least Common Multiples of 8516

Frequently Asked Questions on LCM of 8508 and 8516

1. What is the LCM of 8508 and 8516?

Answer: LCM of 8508 and 8516 is 18113532.

2. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

3. 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.

4. How to Find the LCM of 8508 and 8516?

Answer:

Least Common Multiple of 8508 and 8516 = 18113532

Step 1: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

Step 2: Find the prime factorization of 8516

8516 = 2 x 2 x 2129

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

LCM = 18113532 = 2 x 2 x 3 x 709 x 2129

Step 4: Therefore, the least common multiple of 8508 and 8516 is 18113532.