Least Common Multiple of 11079 and 11083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11079 and 11083 the smallest integer that is 122788557 that is divisible by both numbers.

Least Common Multiple (LCM) of 11079 and 11083 is 122788557.

LCM(11079,11083) = 122788557

LCM of 11079 and 11083

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

LCM of:
and

Least Common Multiple of 11079 and 11083

LCM of 11079 and 11083 is 122788557

Least common multiple can be found by multiplying the highest exponent prime factors of 11079 and 11083. First we will calculate the prime factors of 11079 and 11083.

Prime Factorization of 11079


3 11079
3 3693
1231 1231
1

Prime factors of 11079 are 3,1231. Prime factorization of 11079 in exponential form is:

11079 = 32×12311

Prime Factorization of 11083


11083 11083
1

Prime factors of 11083 are 11083. Prime factorization of 11083 in exponential form is:

11083 = 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 11079 and 11083.

LCM(11079,11083) = 32×12311×110831
LCM(11079,11083) = 122788557

Factors of 11079

List of positive integer factors of 11079 that divides 11079 without a remainder.

1, 3, 9, 1231, 3693, 11079

Factors of 11083

List of positive integer factors of 11083 that divides 11083 without a remainder.

1, 11083

Least Common Multiple of 11079 and 11083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11079 and 11083, than apply into the LCM equation.

GCF(11079,11083) = 1
LCM(11079,11083) = ( 11079 × 11083) / 1
LCM(11079,11083) = 122788557 / 1
LCM(11079,11083) = 122788557

Properties of LCM 11079 and 11083

(i) The LCM of 11083 and 11079 is associative

LCM of 11079 and 11083 = LCM of 11083 and 11079

Related Least Common Multiples of 11079

Related Least Common Multiples of 11083

Frequently Asked Questions on LCM of 11079 and 11083

1. What is the LCM of 11079 and 11083?

Answer: LCM of 11079 and 11083 is 122788557.

2. What are the Factors of 11079?

Answer: Factors of 11079 are 1, 3, 9, 1231, 3693, 11079. There are 6 integers that are factors of 11079. The greatest factor of 11079 is 11079.

3. What are the Factors of 11083?

Answer: Factors of 11083 are 1, 11083. There are 2 integers that are factors of 11083. The greatest factor of 11083 is 11083.

4. How to Find the LCM of 11079 and 11083?

Answer:

Least Common Multiple of 11079 and 11083 = 122788557

Step 1: Find the prime factorization of 11079

11079 = 3 x 3 x 1231

Step 2: Find the prime factorization of 11083

11083 = 11083

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

LCM = 122788557 = 3 x 3 x 1231 x 11083

Step 4: Therefore, the least common multiple of 11079 and 11083 is 122788557.