Least Common Multiple of 1093 and 1099

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 1099 the smallest integer that is 1201207 that is divisible by both numbers.

Least Common Multiple (LCM) of 1093 and 1099 is 1201207.

LCM(1093,1099) = 1201207

LCM of 1093 and 1099

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

LCM of:
and

Least Common Multiple of 1093 and 1099

LCM of 1093 and 1099 is 1201207

Least common multiple can be found by multiplying the highest exponent prime factors of 1093 and 1099. First we will calculate the prime factors of 1093 and 1099.

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 1099


7 1099
157 157
1

Prime factors of 1099 are 7,157. Prime factorization of 1099 in exponential form is:

1099 = 71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1093 and 1099.

LCM(1093,1099) = 71×1571×10931
LCM(1093,1099) = 1201207

Factors of 1093

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

1, 1093

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1, 7, 157, 1099

Least Common Multiple of 1093 and 1099 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 1099, than apply into the LCM equation.

GCF(1093,1099) = 1
LCM(1093,1099) = ( 1093 × 1099) / 1
LCM(1093,1099) = 1201207 / 1
LCM(1093,1099) = 1201207

Properties of LCM 1093 and 1099

(i) The LCM of 1099 and 1093 is associative

LCM of 1093 and 1099 = LCM of 1099 and 1093

Related Least Common Multiples of 1093

Related Least Common Multiples of 1099

Frequently Asked Questions on LCM of 1093 and 1099

1. What is the LCM of 1093 and 1099?

Answer: LCM of 1093 and 1099 is 1201207.

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 1099?

Answer: Factors of 1099 are 1, 7, 157, 1099. There are 4 integers that are factors of 1099. The greatest factor of 1099 is 1099.

4. How to Find the LCM of 1093 and 1099?

Answer:

Least Common Multiple of 1093 and 1099 = 1201207

Step 1: Find the prime factorization of 1093

1093 = 1093

Step 2: Find the prime factorization of 1099

1099 = 7 x 157

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

LCM = 1201207 = 7 x 157 x 1093

Step 4: Therefore, the least common multiple of 1093 and 1099 is 1201207.