Least Common Multiple of 11306 and 11311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11306 and 11311 the smallest integer that is 127882166 that is divisible by both numbers.

Least Common Multiple (LCM) of 11306 and 11311 is 127882166.

LCM(11306,11311) = 127882166

LCM of 11306 and 11311

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

LCM of:
and

Least Common Multiple of 11306 and 11311

LCM of 11306 and 11311 is 127882166

Least common multiple can be found by multiplying the highest exponent prime factors of 11306 and 11311. First we will calculate the prime factors of 11306 and 11311.

Prime Factorization of 11306


2 11306
5653 5653
1

Prime factors of 11306 are 2,5653. Prime factorization of 11306 in exponential form is:

11306 = 21×56531

Prime Factorization of 11311


11311 11311
1

Prime factors of 11311 are 11311. Prime factorization of 11311 in exponential form is:

11311 = 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 11306 and 11311.

LCM(11306,11311) = 21×56531×113111
LCM(11306,11311) = 127882166

Factors of 11306

List of positive integer factors of 11306 that divides 11306 without a remainder.

1, 2, 5653, 11306

Factors of 11311

List of positive integer factors of 11311 that divides 11311 without a remainder.

1, 11311

Least Common Multiple of 11306 and 11311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11306 and 11311, than apply into the LCM equation.

GCF(11306,11311) = 1
LCM(11306,11311) = ( 11306 × 11311) / 1
LCM(11306,11311) = 127882166 / 1
LCM(11306,11311) = 127882166

Properties of LCM 11306 and 11311

(i) The LCM of 11311 and 11306 is associative

LCM of 11306 and 11311 = LCM of 11311 and 11306

Related Least Common Multiples of 11306

Related Least Common Multiples of 11311

Frequently Asked Questions on LCM of 11306 and 11311

1. What is the LCM of 11306 and 11311?

Answer: LCM of 11306 and 11311 is 127882166.

2. What are the Factors of 11306?

Answer: Factors of 11306 are 1, 2, 5653, 11306. There are 4 integers that are factors of 11306. The greatest factor of 11306 is 11306.

3. What are the Factors of 11311?

Answer: Factors of 11311 are 1, 11311. There are 2 integers that are factors of 11311. The greatest factor of 11311 is 11311.

4. How to Find the LCM of 11306 and 11311?

Answer:

Least Common Multiple of 11306 and 11311 = 127882166

Step 1: Find the prime factorization of 11306

11306 = 2 x 5653

Step 2: Find the prime factorization of 11311

11311 = 11311

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

LCM = 127882166 = 2 x 5653 x 11311

Step 4: Therefore, the least common multiple of 11306 and 11311 is 127882166.