Least Common Multiple of 110 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 110 and 112 the smallest integer that is 6160 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 112 is 6160.

LCM(110,112) = 6160

LCM of 110 and 112

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

LCM of:
and

Least Common Multiple of 110 and 112

LCM of 110 and 112 is 6160

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 112. First we will calculate the prime factors of 110 and 112.

Prime Factorization of 110


2 110
5 55
11 11
1

Prime factors of 110 are 2, 5,11. Prime factorization of 110 in exponential form is:

110 = 21×51×111

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 110 and 112.

LCM(110,112) = 24×51×71×111
LCM(110,112) = 6160

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 110 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 110 and 112, than apply into the LCM equation.

GCF(110,112) = 2
LCM(110,112) = ( 110 × 112) / 2
LCM(110,112) = 12320 / 2
LCM(110,112) = 6160

Properties of LCM 110 and 112

(i) The LCM of 112 and 110 is associative

LCM of 110 and 112 = LCM of 112 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 112

Frequently Asked Questions on LCM of 110 and 112

1. What is the LCM of 110 and 112?

Answer: LCM of 110 and 112 is 6160.

2. What are the Factors of 110?

Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.

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 110 and 112?

Answer:

Least Common Multiple of 110 and 112 = 6160

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

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 = 6160 = 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 110 and 112 is 6160.