Least Common Multiple of 8108 and 8116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8108 and 8116 the smallest integer that is 16451132 that is divisible by both numbers.

Least Common Multiple (LCM) of 8108 and 8116 is 16451132.

LCM(8108,8116) = 16451132

LCM of 8108 and 8116

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

LCM of:
and

Least Common Multiple of 8108 and 8116

LCM of 8108 and 8116 is 16451132

Least common multiple can be found by multiplying the highest exponent prime factors of 8108 and 8116. First we will calculate the prime factors of 8108 and 8116.

Prime Factorization of 8108


2 8108
2 4054
2027 2027
1

Prime factors of 8108 are 2,2027. Prime factorization of 8108 in exponential form is:

8108 = 22×20271

Prime Factorization of 8116


2 8116
2 4058
2029 2029
1

Prime factors of 8116 are 2,2029. Prime factorization of 8116 in exponential form is:

8116 = 22×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 8108 and 8116.

LCM(8108,8116) = 22×20271×20291
LCM(8108,8116) = 16451132

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1, 2, 4, 2027, 4054, 8108

Factors of 8116

List of positive integer factors of 8116 that divides 8116 without a remainder.

1, 2, 4, 2029, 4058, 8116

Least Common Multiple of 8108 and 8116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8108 and 8116, than apply into the LCM equation.

GCF(8108,8116) = 4
LCM(8108,8116) = ( 8108 × 8116) / 4
LCM(8108,8116) = 65804528 / 4
LCM(8108,8116) = 16451132

Properties of LCM 8108 and 8116

(i) The LCM of 8116 and 8108 is associative

LCM of 8108 and 8116 = LCM of 8116 and 8108

Related Least Common Multiples of 8108

Related Least Common Multiples of 8116

Frequently Asked Questions on LCM of 8108 and 8116

1. What is the LCM of 8108 and 8116?

Answer: LCM of 8108 and 8116 is 16451132.

2. What are the Factors of 8108?

Answer: Factors of 8108 are 1, 2, 4, 2027, 4054, 8108. There are 6 integers that are factors of 8108. The greatest factor of 8108 is 8108.

3. What are the Factors of 8116?

Answer: Factors of 8116 are 1, 2, 4, 2029, 4058, 8116. There are 6 integers that are factors of 8116. The greatest factor of 8116 is 8116.

4. How to Find the LCM of 8108 and 8116?

Answer:

Least Common Multiple of 8108 and 8116 = 16451132

Step 1: Find the prime factorization of 8108

8108 = 2 x 2 x 2027

Step 2: Find the prime factorization of 8116

8116 = 2 x 2 x 2029

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

LCM = 16451132 = 2 x 2 x 2027 x 2029

Step 4: Therefore, the least common multiple of 8108 and 8116 is 16451132.