Least Common Multiple of 1112 and 1120

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 1120 the smallest integer that is 155680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1112 and 1120 is 155680.

LCM(1112,1120) = 155680

LCM of 1112 and 1120

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

LCM of:
and

Least Common Multiple of 1112 and 1120

LCM of 1112 and 1120 is 155680

Least common multiple can be found by multiplying the highest exponent prime factors of 1112 and 1120. First we will calculate the prime factors of 1112 and 1120.

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 1120


2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 1120 are 2, 5,7. Prime factorization of 1120 in exponential form is:

1120 = 25×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1112 and 1120.

LCM(1112,1120) = 25×51×71×1391
LCM(1112,1120) = 155680

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 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

Least Common Multiple of 1112 and 1120 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 1120, than apply into the LCM equation.

GCF(1112,1120) = 8
LCM(1112,1120) = ( 1112 × 1120) / 8
LCM(1112,1120) = 1245440 / 8
LCM(1112,1120) = 155680

Properties of LCM 1112 and 1120

(i) The LCM of 1120 and 1112 is associative

LCM of 1112 and 1120 = LCM of 1120 and 1112

Related Least Common Multiples of 1112

Related Least Common Multiples of 1120

Frequently Asked Questions on LCM of 1112 and 1120

1. What is the LCM of 1112 and 1120?

Answer: LCM of 1112 and 1120 is 155680.

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 1120?

Answer: Factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. There are 24 integers that are factors of 1120. The greatest factor of 1120 is 1120.

4. How to Find the LCM of 1112 and 1120?

Answer:

Least Common Multiple of 1112 and 1120 = 155680

Step 1: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 1120

1120 = 2 x 2 x 2 x 2 x 2 x 5 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 = 155680 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 139

Step 4: Therefore, the least common multiple of 1112 and 1120 is 155680.