Least Common Multiple of 4112 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 4112 and 4118 the smallest integer that is 8466608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4112 and 4118 is 8466608.

LCM(4112,4118) = 8466608

LCM of 4112 and 4118

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

LCM of:
and

Least Common Multiple of 4112 and 4118

LCM of 4112 and 4118 is 8466608

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4118. First we will calculate the prime factors of 4112 and 4118.

Prime Factorization of 4112


2 4112
2 2056
2 1028
2 514
257 257
1

Prime factors of 4112 are 2,257. Prime factorization of 4112 in exponential form is:

4112 = 24×2571

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 4112 and 4118.

LCM(4112,4118) = 24×291×711×2571
LCM(4112,4118) = 8466608

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112

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 4112 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 4112 and 4118, than apply into the LCM equation.

GCF(4112,4118) = 2
LCM(4112,4118) = ( 4112 × 4118) / 2
LCM(4112,4118) = 16933216 / 2
LCM(4112,4118) = 8466608

Properties of LCM 4112 and 4118

(i) The LCM of 4118 and 4112 is associative

LCM of 4112 and 4118 = LCM of 4118 and 4112

Related Least Common Multiples of 4112

Related Least Common Multiples of 4118

Frequently Asked Questions on LCM of 4112 and 4118

1. What is the LCM of 4112 and 4118?

Answer: LCM of 4112 and 4118 is 8466608.

2. What are the Factors of 4112?

Answer: Factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112. There are 10 integers that are factors of 4112. The greatest factor of 4112 is 4112.

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 4112 and 4118?

Answer:

Least Common Multiple of 4112 and 4118 = 8466608

Step 1: Find the prime factorization of 4112

4112 = 2 x 2 x 2 x 2 x 257

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 = 8466608 = 2 x 2 x 2 x 2 x 29 x 71 x 257

Step 4: Therefore, the least common multiple of 4112 and 4118 is 8466608.