Least Common Multiple of 9033 and 9039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9033 and 9039 the smallest integer that is 27216429 that is divisible by both numbers.

Least Common Multiple (LCM) of 9033 and 9039 is 27216429.

LCM(9033,9039) = 27216429

LCM of 9033 and 9039

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

LCM of:
and

Least Common Multiple of 9033 and 9039

LCM of 9033 and 9039 is 27216429

Least common multiple can be found by multiplying the highest exponent prime factors of 9033 and 9039. First we will calculate the prime factors of 9033 and 9039.

Prime Factorization of 9033


3 9033
3011 3011
1

Prime factors of 9033 are 3,3011. Prime factorization of 9033 in exponential form is:

9033 = 31×30111

Prime Factorization of 9039


3 9039
23 3013
131 131
1

Prime factors of 9039 are 3, 23,131. Prime factorization of 9039 in exponential form is:

9039 = 31×231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9033 and 9039.

LCM(9033,9039) = 31×231×1311×30111
LCM(9033,9039) = 27216429

Factors of 9033

List of positive integer factors of 9033 that divides 9033 without a remainder.

1, 3, 3011, 9033

Factors of 9039

List of positive integer factors of 9039 that divides 9039 without a remainder.

1, 3, 23, 69, 131, 393, 3013, 9039

Least Common Multiple of 9033 and 9039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9033 and 9039, than apply into the LCM equation.

GCF(9033,9039) = 3
LCM(9033,9039) = ( 9033 × 9039) / 3
LCM(9033,9039) = 81649287 / 3
LCM(9033,9039) = 27216429

Properties of LCM 9033 and 9039

(i) The LCM of 9039 and 9033 is associative

LCM of 9033 and 9039 = LCM of 9039 and 9033

Related Least Common Multiples of 9033

Related Least Common Multiples of 9039

Frequently Asked Questions on LCM of 9033 and 9039

1. What is the LCM of 9033 and 9039?

Answer: LCM of 9033 and 9039 is 27216429.

2. What are the Factors of 9033?

Answer: Factors of 9033 are 1, 3, 3011, 9033. There are 4 integers that are factors of 9033. The greatest factor of 9033 is 9033.

3. What are the Factors of 9039?

Answer: Factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039. There are 8 integers that are factors of 9039. The greatest factor of 9039 is 9039.

4. How to Find the LCM of 9033 and 9039?

Answer:

Least Common Multiple of 9033 and 9039 = 27216429

Step 1: Find the prime factorization of 9033

9033 = 3 x 3011

Step 2: Find the prime factorization of 9039

9039 = 3 x 23 x 131

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

LCM = 27216429 = 3 x 23 x 131 x 3011

Step 4: Therefore, the least common multiple of 9033 and 9039 is 27216429.