Least Common Multiple of 1104 and 1108

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 1108 the smallest integer that is 305808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1104 and 1108 is 305808.

LCM(1104,1108) = 305808

LCM of 1104 and 1108

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

LCM of:
and

Least Common Multiple of 1104 and 1108

LCM of 1104 and 1108 is 305808

Least common multiple can be found by multiplying the highest exponent prime factors of 1104 and 1108. First we will calculate the prime factors of 1104 and 1108.

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 1108


2 1108
2 554
277 277
1

Prime factors of 1108 are 2,277. Prime factorization of 1108 in exponential form is:

1108 = 22×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1104 and 1108.

LCM(1104,1108) = 24×31×231×2771
LCM(1104,1108) = 305808

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 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1, 2, 4, 277, 554, 1108

Least Common Multiple of 1104 and 1108 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 1108, than apply into the LCM equation.

GCF(1104,1108) = 4
LCM(1104,1108) = ( 1104 × 1108) / 4
LCM(1104,1108) = 1223232 / 4
LCM(1104,1108) = 305808

Properties of LCM 1104 and 1108

(i) The LCM of 1108 and 1104 is associative

LCM of 1104 and 1108 = LCM of 1108 and 1104

Related Least Common Multiples of 1104

Related Least Common Multiples of 1108

Frequently Asked Questions on LCM of 1104 and 1108

1. What is the LCM of 1104 and 1108?

Answer: LCM of 1104 and 1108 is 305808.

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 1108?

Answer: Factors of 1108 are 1, 2, 4, 277, 554, 1108. There are 6 integers that are factors of 1108. The greatest factor of 1108 is 1108.

4. How to Find the LCM of 1104 and 1108?

Answer:

Least Common Multiple of 1104 and 1108 = 305808

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 1108

1108 = 2 x 2 x 277

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

LCM = 305808 = 2 x 2 x 2 x 2 x 3 x 23 x 277

Step 4: Therefore, the least common multiple of 1104 and 1108 is 305808.