Least Common Multiple of 4114 and 4120

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 4120 the smallest integer that is 8474840 that is divisible by both numbers.

Least Common Multiple (LCM) of 4114 and 4120 is 8474840.

LCM(4114,4120) = 8474840

LCM of 4114 and 4120

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

LCM of:
and

Least Common Multiple of 4114 and 4120

LCM of 4114 and 4120 is 8474840

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4120. First we will calculate the prime factors of 4114 and 4120.

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 4120


2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 4120 are 2, 5,103. Prime factorization of 4120 in exponential form is:

4120 = 23×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4120.

LCM(4114,4120) = 23×51×112×171×1031
LCM(4114,4120) = 8474840

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 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

Least Common Multiple of 4114 and 4120 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 4120, than apply into the LCM equation.

GCF(4114,4120) = 2
LCM(4114,4120) = ( 4114 × 4120) / 2
LCM(4114,4120) = 16949680 / 2
LCM(4114,4120) = 8474840

Properties of LCM 4114 and 4120

(i) The LCM of 4120 and 4114 is associative

LCM of 4114 and 4120 = LCM of 4120 and 4114

Related Least Common Multiples of 4114

Related Least Common Multiples of 4120

Frequently Asked Questions on LCM of 4114 and 4120

1. What is the LCM of 4114 and 4120?

Answer: LCM of 4114 and 4120 is 8474840.

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 4120?

Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.

4. How to Find the LCM of 4114 and 4120?

Answer:

Least Common Multiple of 4114 and 4120 = 8474840

Step 1: Find the prime factorization of 4114

4114 = 2 x 11 x 11 x 17

Step 2: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

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

LCM = 8474840 = 2 x 2 x 2 x 5 x 11 x 11 x 17 x 103

Step 4: Therefore, the least common multiple of 4114 and 4120 is 8474840.