Least Common Multiple of 8108 and 8114

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 8114 the smallest integer that is 32894156 that is divisible by both numbers.

Least Common Multiple (LCM) of 8108 and 8114 is 32894156.

LCM(8108,8114) = 32894156

LCM of 8108 and 8114

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

LCM of:
and

Least Common Multiple of 8108 and 8114

LCM of 8108 and 8114 is 32894156

Least common multiple can be found by multiplying the highest exponent prime factors of 8108 and 8114. First we will calculate the prime factors of 8108 and 8114.

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 8114


2 8114
4057 4057
1

Prime factors of 8114 are 2,4057. Prime factorization of 8114 in exponential form is:

8114 = 21×40571

Now multiplying the highest exponent prime factors to calculate the LCM of 8108 and 8114.

LCM(8108,8114) = 22×20271×40571
LCM(8108,8114) = 32894156

Factors of 8108

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

1, 2, 4, 2027, 4054, 8108

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1, 2, 4057, 8114

Least Common Multiple of 8108 and 8114 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 8114, than apply into the LCM equation.

GCF(8108,8114) = 2
LCM(8108,8114) = ( 8108 × 8114) / 2
LCM(8108,8114) = 65788312 / 2
LCM(8108,8114) = 32894156

Properties of LCM 8108 and 8114

(i) The LCM of 8114 and 8108 is associative

LCM of 8108 and 8114 = LCM of 8114 and 8108

Related Least Common Multiples of 8108

Related Least Common Multiples of 8114

Frequently Asked Questions on LCM of 8108 and 8114

1. What is the LCM of 8108 and 8114?

Answer: LCM of 8108 and 8114 is 32894156.

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 8114?

Answer: Factors of 8114 are 1, 2, 4057, 8114. There are 4 integers that are factors of 8114. The greatest factor of 8114 is 8114.

4. How to Find the LCM of 8108 and 8114?

Answer:

Least Common Multiple of 8108 and 8114 = 32894156

Step 1: Find the prime factorization of 8108

8108 = 2 x 2 x 2027

Step 2: Find the prime factorization of 8114

8114 = 2 x 4057

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

LCM = 32894156 = 2 x 2 x 2027 x 4057

Step 4: Therefore, the least common multiple of 8108 and 8114 is 32894156.