Least Common Multiple of 4114 and 4118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4114 and 4118 the smallest integer that is 8470726 that is divisible by both numbers.

Least Common Multiple (LCM) of 4114 and 4118 is 8470726.

LCM(4114,4118) = 8470726

LCM of 4114 and 4118

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

LCM of:
and

Least Common Multiple of 4114 and 4118

LCM of 4114 and 4118 is 8470726

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4118. First we will calculate the prime factors of 4114 and 4118.

Prime Factorization of 4114


2 4114
11 2057
11 187
17 17
1

Prime factors of 4114 are 2, 11,17. Prime factorization of 4114 in exponential form is:

4114 = 21×112×171

Prime Factorization of 4118


2 4118
29 2059
71 71
1

Prime factors of 4118 are 2, 29,71. Prime factorization of 4118 in exponential form is:

4118 = 21×291×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4118.

LCM(4114,4118) = 21×112×171×291×711
LCM(4114,4118) = 8470726

Factors of 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1, 2, 29, 58, 71, 142, 2059, 4118

Least Common Multiple of 4114 and 4118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4114 and 4118, than apply into the LCM equation.

GCF(4114,4118) = 2
LCM(4114,4118) = ( 4114 × 4118) / 2
LCM(4114,4118) = 16941452 / 2
LCM(4114,4118) = 8470726

Properties of LCM 4114 and 4118

(i) The LCM of 4118 and 4114 is associative

LCM of 4114 and 4118 = LCM of 4118 and 4114

Related Least Common Multiples of 4114

Related Least Common Multiples of 4118

Frequently Asked Questions on LCM of 4114 and 4118

1. What is the LCM of 4114 and 4118?

Answer: LCM of 4114 and 4118 is 8470726.

2. What are the Factors of 4114?

Answer: Factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114. There are 12 integers that are factors of 4114. The greatest factor of 4114 is 4114.

3. What are the Factors of 4118?

Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.

4. How to Find the LCM of 4114 and 4118?

Answer:

Least Common Multiple of 4114 and 4118 = 8470726

Step 1: Find the prime factorization of 4114

4114 = 2 x 11 x 11 x 17

Step 2: Find the prime factorization of 4118

4118 = 2 x 29 x 71

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

LCM = 8470726 = 2 x 11 x 11 x 17 x 29 x 71

Step 4: Therefore, the least common multiple of 4114 and 4118 is 8470726.