Least Common Multiple of 1112 and 1116

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 1116 the smallest integer that is 310248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1112 and 1116 is 310248.

LCM(1112,1116) = 310248

LCM of 1112 and 1116

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

LCM of:
and

Least Common Multiple of 1112 and 1116

LCM of 1112 and 1116 is 310248

Least common multiple can be found by multiplying the highest exponent prime factors of 1112 and 1116. First we will calculate the prime factors of 1112 and 1116.

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 1116


2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 1116 are 2, 3,31. Prime factorization of 1116 in exponential form is:

1116 = 22×32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1112 and 1116.

LCM(1112,1116) = 23×32×311×1391
LCM(1112,1116) = 310248

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 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116

Least Common Multiple of 1112 and 1116 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 1116, than apply into the LCM equation.

GCF(1112,1116) = 4
LCM(1112,1116) = ( 1112 × 1116) / 4
LCM(1112,1116) = 1240992 / 4
LCM(1112,1116) = 310248

Properties of LCM 1112 and 1116

(i) The LCM of 1116 and 1112 is associative

LCM of 1112 and 1116 = LCM of 1116 and 1112

Related Least Common Multiples of 1112

Related Least Common Multiples of 1116

Frequently Asked Questions on LCM of 1112 and 1116

1. What is the LCM of 1112 and 1116?

Answer: LCM of 1112 and 1116 is 310248.

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 1116?

Answer: Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. There are 18 integers that are factors of 1116. The greatest factor of 1116 is 1116.

4. How to Find the LCM of 1112 and 1116?

Answer:

Least Common Multiple of 1112 and 1116 = 310248

Step 1: Find the prime factorization of 1112

1112 = 2 x 2 x 2 x 139

Step 2: Find the prime factorization of 1116

1116 = 2 x 2 x 3 x 3 x 31

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

LCM = 310248 = 2 x 2 x 2 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 1112 and 1116 is 310248.