Least Common Multiple of 8114 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 8114 and 8118 the smallest integer that is 32934726 that is divisible by both numbers.

Least Common Multiple (LCM) of 8114 and 8118 is 32934726.

LCM(8114,8118) = 32934726

LCM of 8114 and 8118

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

LCM of:
and

Least Common Multiple of 8114 and 8118

LCM of 8114 and 8118 is 32934726

Least common multiple can be found by multiplying the highest exponent prime factors of 8114 and 8118. First we will calculate the prime factors of 8114 and 8118.

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

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 8114 and 8118.

LCM(8114,8118) = 21×32×111×411×40571
LCM(8114,8118) = 32934726

Factors of 8114

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

1, 2, 4057, 8114

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 8114 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 8114 and 8118, than apply into the LCM equation.

GCF(8114,8118) = 2
LCM(8114,8118) = ( 8114 × 8118) / 2
LCM(8114,8118) = 65869452 / 2
LCM(8114,8118) = 32934726

Properties of LCM 8114 and 8118

(i) The LCM of 8118 and 8114 is associative

LCM of 8114 and 8118 = LCM of 8118 and 8114

Related Least Common Multiples of 8114

Related Least Common Multiples of 8118

Frequently Asked Questions on LCM of 8114 and 8118

1. What is the LCM of 8114 and 8118?

Answer: LCM of 8114 and 8118 is 32934726.

2. 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.

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 8114 and 8118?

Answer:

Least Common Multiple of 8114 and 8118 = 32934726

Step 1: Find the prime factorization of 8114

8114 = 2 x 4057

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 = 32934726 = 2 x 3 x 3 x 11 x 41 x 4057

Step 4: Therefore, the least common multiple of 8114 and 8118 is 32934726.