Least Common Multiple of 1096 and 1103

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 1103 the smallest integer that is 1208888 that is divisible by both numbers.

Least Common Multiple (LCM) of 1096 and 1103 is 1208888.

LCM(1096,1103) = 1208888

LCM of 1096 and 1103

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

LCM of:
and

Least Common Multiple of 1096 and 1103

LCM of 1096 and 1103 is 1208888

Least common multiple can be found by multiplying the highest exponent prime factors of 1096 and 1103. First we will calculate the prime factors of 1096 and 1103.

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 1103


1103 1103
1

Prime factors of 1103 are 1103. Prime factorization of 1103 in exponential form is:

1103 = 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 1096 and 1103.

LCM(1096,1103) = 23×1371×11031
LCM(1096,1103) = 1208888

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 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1, 1103

Least Common Multiple of 1096 and 1103 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 1103, than apply into the LCM equation.

GCF(1096,1103) = 1
LCM(1096,1103) = ( 1096 × 1103) / 1
LCM(1096,1103) = 1208888 / 1
LCM(1096,1103) = 1208888

Properties of LCM 1096 and 1103

(i) The LCM of 1103 and 1096 is associative

LCM of 1096 and 1103 = LCM of 1103 and 1096

Related Least Common Multiples of 1096

Related Least Common Multiples of 1103

Frequently Asked Questions on LCM of 1096 and 1103

1. What is the LCM of 1096 and 1103?

Answer: LCM of 1096 and 1103 is 1208888.

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 1103?

Answer: Factors of 1103 are 1, 1103. There are 2 integers that are factors of 1103. The greatest factor of 1103 is 1103.

4. How to Find the LCM of 1096 and 1103?

Answer:

Least Common Multiple of 1096 and 1103 = 1208888

Step 1: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 1103

1103 = 1103

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

LCM = 1208888 = 2 x 2 x 2 x 137 x 1103

Step 4: Therefore, the least common multiple of 1096 and 1103 is 1208888.