Least Common Multiple of 112 and 116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 112 and 116 the smallest integer that is 3248 that is divisible by both numbers.

Least Common Multiple (LCM) of 112 and 116 is 3248.

LCM(112,116) = 3248

LCM of 112 and 116

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

LCM of:
and

Least Common Multiple of 112 and 116

LCM of 112 and 116 is 3248

Least common multiple can be found by multiplying the highest exponent prime factors of 112 and 116. First we will calculate the prime factors of 112 and 116.

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

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

Now multiplying the highest exponent prime factors to calculate the LCM of 112 and 116.

LCM(112,116) = 24×71×291
LCM(112,116) = 3248

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

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Least Common Multiple of 112 and 116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 112 and 116, than apply into the LCM equation.

GCF(112,116) = 4
LCM(112,116) = ( 112 × 116) / 4
LCM(112,116) = 12992 / 4
LCM(112,116) = 3248

Properties of LCM 112 and 116

(i) The LCM of 116 and 112 is associative

LCM of 112 and 116 = LCM of 116 and 112

Related Least Common Multiples of 112

Related Least Common Multiples of 116

Frequently Asked Questions on LCM of 112 and 116

1. What is the LCM of 112 and 116?

Answer: LCM of 112 and 116 is 3248.

2. 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.

3. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

4. How to Find the LCM of 112 and 116?

Answer:

Least Common Multiple of 112 and 116 = 3248

Step 1: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 116

116 = 2 x 2 x 29

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

LCM = 3248 = 2 x 2 x 2 x 2 x 7 x 29

Step 4: Therefore, the least common multiple of 112 and 116 is 3248.