Least Common Multiple of 1105 and 1112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1105 and 1112 the smallest integer that is 1228760 that is divisible by both numbers.

Least Common Multiple (LCM) of 1105 and 1112 is 1228760.

LCM(1105,1112) = 1228760

LCM of 1105 and 1112

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

LCM of:
and

Least Common Multiple of 1105 and 1112

LCM of 1105 and 1112 is 1228760

Least common multiple can be found by multiplying the highest exponent prime factors of 1105 and 1112. First we will calculate the prime factors of 1105 and 1112.

Prime Factorization of 1105


5 1105
13 221
17 17
1

Prime factors of 1105 are 5, 13,17. Prime factorization of 1105 in exponential form is:

1105 = 51×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1105 and 1112.

LCM(1105,1112) = 23×51×131×171×1391
LCM(1105,1112) = 1228760

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1, 5, 13, 17, 65, 85, 221, 1105

Factors of 1112

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

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

Least Common Multiple of 1105 and 1112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1105 and 1112, than apply into the LCM equation.

GCF(1105,1112) = 1
LCM(1105,1112) = ( 1105 × 1112) / 1
LCM(1105,1112) = 1228760 / 1
LCM(1105,1112) = 1228760

Properties of LCM 1105 and 1112

(i) The LCM of 1112 and 1105 is associative

LCM of 1105 and 1112 = LCM of 1112 and 1105

Related Least Common Multiples of 1105

Related Least Common Multiples of 1112

Frequently Asked Questions on LCM of 1105 and 1112

1. What is the LCM of 1105 and 1112?

Answer: LCM of 1105 and 1112 is 1228760.

2. What are the Factors of 1105?

Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.

3. 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.

4. How to Find the LCM of 1105 and 1112?

Answer:

Least Common Multiple of 1105 and 1112 = 1228760

Step 1: Find the prime factorization of 1105

1105 = 5 x 13 x 17

Step 2: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

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

LCM = 1228760 = 2 x 2 x 2 x 5 x 13 x 17 x 139

Step 4: Therefore, the least common multiple of 1105 and 1112 is 1228760.