Least Common Multiple of 8116 and 8122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8116 and 8122 the smallest integer that is 32959076 that is divisible by both numbers.

Least Common Multiple (LCM) of 8116 and 8122 is 32959076.

LCM(8116,8122) = 32959076

LCM of 8116 and 8122

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

LCM of:
and

Least Common Multiple of 8116 and 8122

LCM of 8116 and 8122 is 32959076

Least common multiple can be found by multiplying the highest exponent prime factors of 8116 and 8122. First we will calculate the prime factors of 8116 and 8122.

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

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2, 31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8116 and 8122.

LCM(8116,8122) = 22×311×1311×20291
LCM(8116,8122) = 32959076

Factors of 8116

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

1, 2, 4, 2029, 4058, 8116

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1, 2, 31, 62, 131, 262, 4061, 8122

Least Common Multiple of 8116 and 8122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8116 and 8122, than apply into the LCM equation.

GCF(8116,8122) = 2
LCM(8116,8122) = ( 8116 × 8122) / 2
LCM(8116,8122) = 65918152 / 2
LCM(8116,8122) = 32959076

Properties of LCM 8116 and 8122

(i) The LCM of 8122 and 8116 is associative

LCM of 8116 and 8122 = LCM of 8122 and 8116

Related Least Common Multiples of 8116

Related Least Common Multiples of 8122

Frequently Asked Questions on LCM of 8116 and 8122

1. What is the LCM of 8116 and 8122?

Answer: LCM of 8116 and 8122 is 32959076.

2. 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.

3. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

4. How to Find the LCM of 8116 and 8122?

Answer:

Least Common Multiple of 8116 and 8122 = 32959076

Step 1: Find the prime factorization of 8116

8116 = 2 x 2 x 2029

Step 2: Find the prime factorization of 8122

8122 = 2 x 31 x 131

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

LCM = 32959076 = 2 x 2 x 31 x 131 x 2029

Step 4: Therefore, the least common multiple of 8116 and 8122 is 32959076.