Least Common Multiple of 1096 and 1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1096 and 1104 the smallest integer that is 151248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1096 and 1104 is 151248.

LCM(1096,1104) = 151248

LCM of 1096 and 1104

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

LCM of:
and

Least Common Multiple of 1096 and 1104

LCM of 1096 and 1104 is 151248

Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1104. First we will calculate the prime factors of 1096 and 1104.

Prime Factorization of 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1096 and 1104.

LCM(1096,1104) = 24×31×231×1371
LCM(1096,1104) = 151248

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1, 2, 4, 8, 137, 274, 548, 1096

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

Least Common Multiple of 1096 and 1104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1096 and 1104, than apply into the LCM equation.

GCF(1096,1104) = 8
LCM(1096,1104) = ( 1096 × 1104) / 8
LCM(1096,1104) = 1209984 / 8
LCM(1096,1104) = 151248

Properties of LCM 1096 and 1104

(i) The LCM of 1104 and 1096 is associative

LCM of 1096 and 1104 = LCM of 1104 and 1096

Related Least Common Multiples of 1096

Related Least Common Multiples of 1104

Frequently Asked Questions on LCM of 1096 and 1104

1. What is the LCM of 1096 and 1104?

Answer: LCM of 1096 and 1104 is 151248.

2. What are the Factors of 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

3. 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.

4. How to Find the LCM of 1096 and 1104?

Answer:

Least Common Multiple of 1096 and 1104 = 151248

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 1104

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

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

LCM = 151248 = 2 x 2 x 2 x 2 x 3 x 23 x 137

Step 4: Therefore, the least common multiple of 1096 and 1104 is 151248.