Least Common Multiple of 1093 and 1096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1093 and 1096 the smallest integer that is 1197928 that is divisible by both numbers.

Least Common Multiple (LCM) of 1093 and 1096 is 1197928.

LCM(1093,1096) = 1197928

LCM of 1093 and 1096

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

LCM of:
and

Least Common Multiple of 1093 and 1096

LCM of 1093 and 1096 is 1197928

Least common multiple can be found by multiplying the highest exponent prime factors of 1093 and 1096. First we will calculate the prime factors of 1093 and 1096.

Prime Factorization of 1093


1093 1093
1

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1093 and 1096.

LCM(1093,1096) = 23×1371×10931
LCM(1093,1096) = 1197928

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1, 1093

Factors of 1096

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

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

Least Common Multiple of 1093 and 1096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1093 and 1096, than apply into the LCM equation.

GCF(1093,1096) = 1
LCM(1093,1096) = ( 1093 × 1096) / 1
LCM(1093,1096) = 1197928 / 1
LCM(1093,1096) = 1197928

Properties of LCM 1093 and 1096

(i) The LCM of 1096 and 1093 is associative

LCM of 1093 and 1096 = LCM of 1096 and 1093

Related Least Common Multiples of 1093

Related Least Common Multiples of 1096

Frequently Asked Questions on LCM of 1093 and 1096

1. What is the LCM of 1093 and 1096?

Answer: LCM of 1093 and 1096 is 1197928.

2. What are the Factors of 1093?

Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.

3. 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.

4. How to Find the LCM of 1093 and 1096?

Answer:

Least Common Multiple of 1093 and 1096 = 1197928

Step 1: Find the prime factorization of 1093

1093 = 1093

Step 2: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

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

LCM = 1197928 = 2 x 2 x 2 x 137 x 1093

Step 4: Therefore, the least common multiple of 1093 and 1096 is 1197928.