Least Common Multiple of 8116 and 8118

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 8118 the smallest integer that is 32942844 that is divisible by both numbers.

Least Common Multiple (LCM) of 8116 and 8118 is 32942844.

LCM(8116,8118) = 32942844

LCM of 8116 and 8118

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

LCM of:
and

Least Common Multiple of 8116 and 8118

LCM of 8116 and 8118 is 32942844

Least common multiple can be found by multiplying the highest exponent prime factors of 8116 and 8118. First we will calculate the prime factors of 8116 and 8118.

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 8118


2 8118
3 4059
3 1353
11 451
41 41
1

Prime factors of 8118 are 2, 3, 11,41. Prime factorization of 8118 in exponential form is:

8118 = 21×32×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8116 and 8118.

LCM(8116,8118) = 22×32×111×411×20291
LCM(8116,8118) = 32942844

Factors of 8116

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

1, 2, 4, 2029, 4058, 8116

Factors of 8118

List of positive integer factors of 8118 that divides 8118 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118

Least Common Multiple of 8116 and 8118 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 8118, than apply into the LCM equation.

GCF(8116,8118) = 2
LCM(8116,8118) = ( 8116 × 8118) / 2
LCM(8116,8118) = 65885688 / 2
LCM(8116,8118) = 32942844

Properties of LCM 8116 and 8118

(i) The LCM of 8118 and 8116 is associative

LCM of 8116 and 8118 = LCM of 8118 and 8116

Related Least Common Multiples of 8116

Related Least Common Multiples of 8118

Frequently Asked Questions on LCM of 8116 and 8118

1. What is the LCM of 8116 and 8118?

Answer: LCM of 8116 and 8118 is 32942844.

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 8118?

Answer: Factors of 8118 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118. There are 24 integers that are factors of 8118. The greatest factor of 8118 is 8118.

4. How to Find the LCM of 8116 and 8118?

Answer:

Least Common Multiple of 8116 and 8118 = 32942844

Step 1: Find the prime factorization of 8116

8116 = 2 x 2 x 2029

Step 2: Find the prime factorization of 8118

8118 = 2 x 3 x 3 x 11 x 41

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

LCM = 32942844 = 2 x 2 x 3 x 3 x 11 x 41 x 2029

Step 4: Therefore, the least common multiple of 8116 and 8118 is 32942844.