Least Common Multiple of 1091 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 1091 and 1099 the smallest integer that is 1199009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1091 and 1099 is 1199009.

LCM(1091,1099) = 1199009

LCM of 1091 and 1099

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

LCM of:
and

Least Common Multiple of 1091 and 1099

LCM of 1091 and 1099 is 1199009

Least common multiple can be found by multiplying the highest exponent prime factors of 1091 and 1099. First we will calculate the prime factors of 1091 and 1099.

Prime Factorization of 1091


1091 1091
1

Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:

1091 = 10911

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 1091 and 1099.

LCM(1091,1099) = 71×1571×10911
LCM(1091,1099) = 1199009

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1, 1091

Factors of 1099

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

1, 7, 157, 1099

Least Common Multiple of 1091 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 1091 and 1099, than apply into the LCM equation.

GCF(1091,1099) = 1
LCM(1091,1099) = ( 1091 × 1099) / 1
LCM(1091,1099) = 1199009 / 1
LCM(1091,1099) = 1199009

Properties of LCM 1091 and 1099

(i) The LCM of 1099 and 1091 is associative

LCM of 1091 and 1099 = LCM of 1099 and 1091

Related Least Common Multiples of 1091

Related Least Common Multiples of 1099

Frequently Asked Questions on LCM of 1091 and 1099

1. What is the LCM of 1091 and 1099?

Answer: LCM of 1091 and 1099 is 1199009.

2. What are the Factors of 1091?

Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.

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 1091 and 1099?

Answer:

Least Common Multiple of 1091 and 1099 = 1199009

Step 1: Find the prime factorization of 1091

1091 = 1091

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 = 1199009 = 7 x 157 x 1091

Step 4: Therefore, the least common multiple of 1091 and 1099 is 1199009.