Least Common Multiple of 11038 and 11039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11038 and 11039 the smallest integer that is 121848482 that is divisible by both numbers.

Least Common Multiple (LCM) of 11038 and 11039 is 121848482.

LCM(11038,11039) = 121848482

LCM of 11038 and 11039

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

LCM of:
and

Least Common Multiple of 11038 and 11039

LCM of 11038 and 11039 is 121848482

Least common multiple can be found by multiplying the highest exponent prime factors of 11038 and 11039. First we will calculate the prime factors of 11038 and 11039.

Prime Factorization of 11038


2 11038
5519 5519
1

Prime factors of 11038 are 2,5519. Prime factorization of 11038 in exponential form is:

11038 = 21×55191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11038 and 11039.

LCM(11038,11039) = 21×71×191×831×55191
LCM(11038,11039) = 121848482

Factors of 11038

List of positive integer factors of 11038 that divides 11038 without a remainder.

1, 2, 5519, 11038

Factors of 11039

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

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

Least Common Multiple of 11038 and 11039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11038 and 11039, than apply into the LCM equation.

GCF(11038,11039) = 1
LCM(11038,11039) = ( 11038 × 11039) / 1
LCM(11038,11039) = 121848482 / 1
LCM(11038,11039) = 121848482

Properties of LCM 11038 and 11039

(i) The LCM of 11039 and 11038 is associative

LCM of 11038 and 11039 = LCM of 11039 and 11038

Related Least Common Multiples of 11038

Related Least Common Multiples of 11039

Frequently Asked Questions on LCM of 11038 and 11039

1. What is the LCM of 11038 and 11039?

Answer: LCM of 11038 and 11039 is 121848482.

2. What are the Factors of 11038?

Answer: Factors of 11038 are 1, 2, 5519, 11038. There are 4 integers that are factors of 11038. The greatest factor of 11038 is 11038.

3. 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.

4. How to Find the LCM of 11038 and 11039?

Answer:

Least Common Multiple of 11038 and 11039 = 121848482

Step 1: Find the prime factorization of 11038

11038 = 2 x 5519

Step 2: Find the prime factorization of 11039

11039 = 7 x 19 x 83

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

LCM = 121848482 = 2 x 7 x 19 x 83 x 5519

Step 4: Therefore, the least common multiple of 11038 and 11039 is 121848482.