Least Common Multiple of 1093 and 1101

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 1101 the smallest integer that is 1203393 that is divisible by both numbers.

Least Common Multiple (LCM) of 1093 and 1101 is 1203393.

LCM(1093,1101) = 1203393

LCM of 1093 and 1101

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

LCM of:
and

Least Common Multiple of 1093 and 1101

LCM of 1093 and 1101 is 1203393

Least common multiple can be found by multiplying the highest exponent prime factors of 1093 and 1101. First we will calculate the prime factors of 1093 and 1101.

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 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 1093 and 1101.

LCM(1093,1101) = 31×3671×10931
LCM(1093,1101) = 1203393

Factors of 1093

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

1, 1093

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1, 3, 367, 1101

Least Common Multiple of 1093 and 1101 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 1101, than apply into the LCM equation.

GCF(1093,1101) = 1
LCM(1093,1101) = ( 1093 × 1101) / 1
LCM(1093,1101) = 1203393 / 1
LCM(1093,1101) = 1203393

Properties of LCM 1093 and 1101

(i) The LCM of 1101 and 1093 is associative

LCM of 1093 and 1101 = LCM of 1101 and 1093

Related Least Common Multiples of 1093

Related Least Common Multiples of 1101

Frequently Asked Questions on LCM of 1093 and 1101

1. What is the LCM of 1093 and 1101?

Answer: LCM of 1093 and 1101 is 1203393.

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 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

4. How to Find the LCM of 1093 and 1101?

Answer:

Least Common Multiple of 1093 and 1101 = 1203393

Step 1: Find the prime factorization of 1093

1093 = 1093

Step 2: Find the prime factorization of 1101

1101 = 3 x 367

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

LCM = 1203393 = 3 x 367 x 1093

Step 4: Therefore, the least common multiple of 1093 and 1101 is 1203393.