Least Common Multiple of 1112 and 1118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 1112 and 1118 the smallest integer that is 621608 that is divisible by both numbers.

Least Common Multiple (LCM) of 1112 and 1118 is 621608.

LCM(1112,1118) = 621608

LCM of 1112 and 1118

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

LCM of:
and

Least Common Multiple of 1112 and 1118

LCM of 1112 and 1118 is 621608

Least common multiple can be found by multiplying the highest exponent prime factors of 1112 and 1118. First we will calculate the prime factors of 1112 and 1118.

Prime Factorization of 1112


2 1112
2 556
2 278
139 139
1

Prime factors of 1112 are 2,139. Prime factorization of 1112 in exponential form is:

1112 = 23×1391

Prime Factorization of 1118


2 1118
13 559
43 43
1

Prime factors of 1118 are 2, 13,43. Prime factorization of 1118 in exponential form is:

1118 = 21×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1112 and 1118.

LCM(1112,1118) = 23×131×431×1391
LCM(1112,1118) = 621608

Factors of 1112

List of positive integer factors of 1112 that divides 1112 without a remainder.

1, 2, 4, 8, 139, 278, 556, 1112

Factors of 1118

List of positive integer factors of 1118 that divides 1118 without a remainder.

1, 2, 13, 26, 43, 86, 559, 1118

Least Common Multiple of 1112 and 1118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1112 and 1118, than apply into the LCM equation.

GCF(1112,1118) = 2
LCM(1112,1118) = ( 1112 × 1118) / 2
LCM(1112,1118) = 1243216 / 2
LCM(1112,1118) = 621608

Properties of LCM 1112 and 1118

(i) The LCM of 1118 and 1112 is associative

LCM of 1112 and 1118 = LCM of 1118 and 1112

Frequently Asked Questions on LCM of 1112 and 1118

1. What is the LCM of 1112 and 1118?

Answer: LCM of 1112 and 1118 is 621608.

2. What are the Factors of 1112?

Answer: Factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112. There are 8 integers that are factors of 1112. The greatest factor of 1112 is 1112.

3. What are the Factors of 1118?

Answer: Factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118. There are 8 integers that are factors of 1118. The greatest factor of 1118 is 1118.

4. How to Find the LCM of 1112 and 1118?

Answer:

Least Common Multiple of 1112 and 1118 = 621608

Step 1: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 1118

1118 = 2 x 13 x 43

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

LCM = 621608 = 2 x 2 x 2 x 13 x 43 x 139

Step 4: Therefore, the least common multiple of 1112 and 1118 is 621608.