Least Common Multiple of 111 and 112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 111 and 112 the smallest integer that is 12432 that is divisible by both numbers.

Least Common Multiple (LCM) of 111 and 112 is 12432.

LCM(111,112) = 12432

LCM of 111 and 112

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

LCM of:
and

Least Common Multiple of 111 and 112

LCM of 111 and 112 is 12432

Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 112. First we will calculate the prime factors of 111 and 112.

Prime Factorization of 111


3 111
37 37
1

Prime factors of 111 are 3,37. Prime factorization of 111 in exponential form is:

111 = 31×371

Prime Factorization of 112


2 112
2 56
2 28
2 14
7 7
1

Prime factors of 112 are 2,7. Prime factorization of 112 in exponential form is:

112 = 24×71

Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 112.

LCM(111,112) = 24×31×71×371
LCM(111,112) = 12432

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Least Common Multiple of 111 and 112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 111 and 112, than apply into the LCM equation.

GCF(111,112) = 1
LCM(111,112) = ( 111 × 112) / 1
LCM(111,112) = 12432 / 1
LCM(111,112) = 12432

Properties of LCM 111 and 112

(i) The LCM of 112 and 111 is associative

LCM of 111 and 112 = LCM of 112 and 111

Related Least Common Multiples of 111

Related Least Common Multiples of 112

Frequently Asked Questions on LCM of 111 and 112

1. What is the LCM of 111 and 112?

Answer: LCM of 111 and 112 is 12432.

2. What are the Factors of 111?

Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.

3. What are the Factors of 112?

Answer: Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. There are 10 integers that are factors of 112. The greatest factor of 112 is 112.

4. How to Find the LCM of 111 and 112?

Answer:

Least Common Multiple of 111 and 112 = 12432

Step 1: Find the prime factorization of 111

111 = 3 x 37

Step 2: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

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

LCM = 12432 = 2 x 2 x 2 x 2 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 111 and 112 is 12432.