Least Common Multiple of 1104 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 1104 and 1112 the smallest integer that is 153456 that is divisible by both numbers.

Least Common Multiple (LCM) of 1104 and 1112 is 153456.

LCM(1104,1112) = 153456

LCM of 1104 and 1112

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

LCM of:
and

Least Common Multiple of 1104 and 1112

LCM of 1104 and 1112 is 153456

Least common multiple can be found by multiplying the highest exponent prime factors of 1104 and 1112. First we will calculate the prime factors of 1104 and 1112.

Prime Factorization of 1104


2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 1104 are 2, 3,23. Prime factorization of 1104 in exponential form is:

1104 = 24×31×231

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 1104 and 1112.

LCM(1104,1112) = 24×31×231×1391
LCM(1104,1112) = 153456

Factors of 1104

List of positive integer factors of 1104 that divides 1104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104

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 1104 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 1104 and 1112, than apply into the LCM equation.

GCF(1104,1112) = 8
LCM(1104,1112) = ( 1104 × 1112) / 8
LCM(1104,1112) = 1227648 / 8
LCM(1104,1112) = 153456

Properties of LCM 1104 and 1112

(i) The LCM of 1112 and 1104 is associative

LCM of 1104 and 1112 = LCM of 1112 and 1104

Related Least Common Multiples of 1104

Related Least Common Multiples of 1112

Frequently Asked Questions on LCM of 1104 and 1112

1. What is the LCM of 1104 and 1112?

Answer: LCM of 1104 and 1112 is 153456.

2. What are the Factors of 1104?

Answer: Factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. There are 20 integers that are factors of 1104. The greatest factor of 1104 is 1104.

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 1104 and 1112?

Answer:

Least Common Multiple of 1104 and 1112 = 153456

Step 1: Find the prime factorization of 1104

1104 = 2 x 2 x 2 x 2 x 3 x 23

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 = 153456 = 2 x 2 x 2 x 2 x 3 x 23 x 139

Step 4: Therefore, the least common multiple of 1104 and 1112 is 153456.