Least Common Multiple of 11039 and 11044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11039 and 11044 the smallest integer that is 121914716 that is divisible by both numbers.

Least Common Multiple (LCM) of 11039 and 11044 is 121914716.

LCM(11039,11044) = 121914716

LCM of 11039 and 11044

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

LCM of:
and

Least Common Multiple of 11039 and 11044

LCM of 11039 and 11044 is 121914716

Least common multiple can be found by multiplying the highest exponent prime factors of 11039 and 11044. First we will calculate the prime factors of 11039 and 11044.

Prime Factorization of 11039


7 11039
19 1577
83 83
1

Prime factors of 11039 are 7, 19,83. Prime factorization of 11039 in exponential form is:

11039 = 71×191×831

Prime Factorization of 11044


2 11044
2 5522
11 2761
251 251
1

Prime factors of 11044 are 2, 11,251. Prime factorization of 11044 in exponential form is:

11044 = 22×111×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 11039 and 11044.

LCM(11039,11044) = 22×71×111×191×831×2511
LCM(11039,11044) = 121914716

Factors of 11039

List of positive integer factors of 11039 that divides 11039 without a remainder.

1, 7, 19, 83, 133, 581, 1577, 11039

Factors of 11044

List of positive integer factors of 11044 that divides 11044 without a remainder.

1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044

Least Common Multiple of 11039 and 11044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11039 and 11044, than apply into the LCM equation.

GCF(11039,11044) = 1
LCM(11039,11044) = ( 11039 × 11044) / 1
LCM(11039,11044) = 121914716 / 1
LCM(11039,11044) = 121914716

Properties of LCM 11039 and 11044

(i) The LCM of 11044 and 11039 is associative

LCM of 11039 and 11044 = LCM of 11044 and 11039

Related Least Common Multiples of 11039

Related Least Common Multiples of 11044

Frequently Asked Questions on LCM of 11039 and 11044

1. What is the LCM of 11039 and 11044?

Answer: LCM of 11039 and 11044 is 121914716.

2. What are the Factors of 11039?

Answer: Factors of 11039 are 1, 7, 19, 83, 133, 581, 1577, 11039. There are 8 integers that are factors of 11039. The greatest factor of 11039 is 11039.

3. What are the Factors of 11044?

Answer: Factors of 11044 are 1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044. There are 12 integers that are factors of 11044. The greatest factor of 11044 is 11044.

4. How to Find the LCM of 11039 and 11044?

Answer:

Least Common Multiple of 11039 and 11044 = 121914716

Step 1: Find the prime factorization of 11039

11039 = 7 x 19 x 83

Step 2: Find the prime factorization of 11044

11044 = 2 x 2 x 11 x 251

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

LCM = 121914716 = 2 x 2 x 7 x 11 x 19 x 83 x 251

Step 4: Therefore, the least common multiple of 11039 and 11044 is 121914716.