Least Common Multiple of 11433 and 11439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11433 and 11439 the smallest integer that is 43594029 that is divisible by both numbers.

Least Common Multiple (LCM) of 11433 and 11439 is 43594029.

LCM(11433,11439) = 43594029

LCM of 11433 and 11439

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

LCM of:
and

Least Common Multiple of 11433 and 11439

LCM of 11433 and 11439 is 43594029

Least common multiple can be found by multiplying the highest exponent prime factors of 11433 and 11439. First we will calculate the prime factors of 11433 and 11439.

Prime Factorization of 11433


3 11433
37 3811
103 103
1

Prime factors of 11433 are 3, 37,103. Prime factorization of 11433 in exponential form is:

11433 = 31×371×1031

Prime Factorization of 11439


3 11439
3 3813
31 1271
41 41
1

Prime factors of 11439 are 3, 31,41. Prime factorization of 11439 in exponential form is:

11439 = 32×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 11433 and 11439.

LCM(11433,11439) = 32×311×371×411×1031
LCM(11433,11439) = 43594029

Factors of 11433

List of positive integer factors of 11433 that divides 11433 without a remainder.

1, 3, 37, 103, 111, 309, 3811, 11433

Factors of 11439

List of positive integer factors of 11439 that divides 11439 without a remainder.

1, 3, 9, 31, 41, 93, 123, 279, 369, 1271, 3813, 11439

Least Common Multiple of 11433 and 11439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11433 and 11439, than apply into the LCM equation.

GCF(11433,11439) = 3
LCM(11433,11439) = ( 11433 × 11439) / 3
LCM(11433,11439) = 130782087 / 3
LCM(11433,11439) = 43594029

Properties of LCM 11433 and 11439

(i) The LCM of 11439 and 11433 is associative

LCM of 11433 and 11439 = LCM of 11439 and 11433

Related Least Common Multiples of 11433

Related Least Common Multiples of 11439

Frequently Asked Questions on LCM of 11433 and 11439

1. What is the LCM of 11433 and 11439?

Answer: LCM of 11433 and 11439 is 43594029.

2. What are the Factors of 11433?

Answer: Factors of 11433 are 1, 3, 37, 103, 111, 309, 3811, 11433. There are 8 integers that are factors of 11433. The greatest factor of 11433 is 11433.

3. What are the Factors of 11439?

Answer: Factors of 11439 are 1, 3, 9, 31, 41, 93, 123, 279, 369, 1271, 3813, 11439. There are 12 integers that are factors of 11439. The greatest factor of 11439 is 11439.

4. How to Find the LCM of 11433 and 11439?

Answer:

Least Common Multiple of 11433 and 11439 = 43594029

Step 1: Find the prime factorization of 11433

11433 = 3 x 37 x 103

Step 2: Find the prime factorization of 11439

11439 = 3 x 3 x 31 x 41

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

LCM = 43594029 = 3 x 3 x 31 x 37 x 41 x 103

Step 4: Therefore, the least common multiple of 11433 and 11439 is 43594029.