Least Common Multiple of 4114 and 4122

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 4122 the smallest integer that is 8478954 that is divisible by both numbers.

Least Common Multiple (LCM) of 4114 and 4122 is 8478954.

LCM(4114,4122) = 8478954

LCM of 4114 and 4122

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

LCM of:
and

Least Common Multiple of 4114 and 4122

LCM of 4114 and 4122 is 8478954

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4122. First we will calculate the prime factors of 4114 and 4122.

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 4122


2 4122
3 2061
3 687
229 229
1

Prime factors of 4122 are 2, 3,229. Prime factorization of 4122 in exponential form is:

4122 = 21×32×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4122.

LCM(4114,4122) = 21×32×112×171×2291
LCM(4114,4122) = 8478954

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 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122

Least Common Multiple of 4114 and 4122 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 4122, than apply into the LCM equation.

GCF(4114,4122) = 2
LCM(4114,4122) = ( 4114 × 4122) / 2
LCM(4114,4122) = 16957908 / 2
LCM(4114,4122) = 8478954

Properties of LCM 4114 and 4122

(i) The LCM of 4122 and 4114 is associative

LCM of 4114 and 4122 = LCM of 4122 and 4114

Related Least Common Multiples of 4114

Related Least Common Multiples of 4122

Frequently Asked Questions on LCM of 4114 and 4122

1. What is the LCM of 4114 and 4122?

Answer: LCM of 4114 and 4122 is 8478954.

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 4122?

Answer: Factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122. There are 12 integers that are factors of 4122. The greatest factor of 4122 is 4122.

4. How to Find the LCM of 4114 and 4122?

Answer:

Least Common Multiple of 4114 and 4122 = 8478954

Step 1: Find the prime factorization of 4114

4114 = 2 x 11 x 11 x 17

Step 2: Find the prime factorization of 4122

4122 = 2 x 3 x 3 x 229

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

LCM = 8478954 = 2 x 3 x 3 x 11 x 11 x 17 x 229

Step 4: Therefore, the least common multiple of 4114 and 4122 is 8478954.