Least Common Multiple of 9034 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 9034 and 9039 the smallest integer that is 81658326 that is divisible by both numbers.

Least Common Multiple (LCM) of 9034 and 9039 is 81658326.

LCM(9034,9039) = 81658326

LCM of 9034 and 9039

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

LCM of:
and

Least Common Multiple of 9034 and 9039

LCM of 9034 and 9039 is 81658326

Least common multiple can be found by multiplying the highest exponent prime factors of 9034 and 9039. First we will calculate the prime factors of 9034 and 9039.

Prime Factorization of 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

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 9034 and 9039.

LCM(9034,9039) = 21×31×231×1311×45171
LCM(9034,9039) = 81658326

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1, 2, 4517, 9034

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 9034 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 9034 and 9039, than apply into the LCM equation.

GCF(9034,9039) = 1
LCM(9034,9039) = ( 9034 × 9039) / 1
LCM(9034,9039) = 81658326 / 1
LCM(9034,9039) = 81658326

Properties of LCM 9034 and 9039

(i) The LCM of 9039 and 9034 is associative

LCM of 9034 and 9039 = LCM of 9039 and 9034

Related Least Common Multiples of 9034

Related Least Common Multiples of 9039

Frequently Asked Questions on LCM of 9034 and 9039

1. What is the LCM of 9034 and 9039?

Answer: LCM of 9034 and 9039 is 81658326.

2. What are the Factors of 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

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 9034 and 9039?

Answer:

Least Common Multiple of 9034 and 9039 = 81658326

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

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 = 81658326 = 2 x 3 x 23 x 131 x 4517

Step 4: Therefore, the least common multiple of 9034 and 9039 is 81658326.