Least Common Multiple of 9065 and 9067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9065 and 9067 the smallest integer that is 82192355 that is divisible by both numbers.

Least Common Multiple (LCM) of 9065 and 9067 is 82192355.

LCM(9065,9067) = 82192355

LCM of 9065 and 9067

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

LCM of:
and

Least Common Multiple of 9065 and 9067

LCM of 9065 and 9067 is 82192355

Least common multiple can be found by multiplying the highest exponent prime factors of 9065 and 9067. First we will calculate the prime factors of 9065 and 9067.

Prime Factorization of 9065


5 9065
7 1813
7 259
37 37
1

Prime factors of 9065 are 5, 7,37. Prime factorization of 9065 in exponential form is:

9065 = 51×72×371

Prime Factorization of 9067


9067 9067
1

Prime factors of 9067 are 9067. Prime factorization of 9067 in exponential form is:

9067 = 90671

Now multiplying the highest exponent prime factors to calculate the LCM of 9065 and 9067.

LCM(9065,9067) = 51×72×371×90671
LCM(9065,9067) = 82192355

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065

Factors of 9067

List of positive integer factors of 9067 that divides 9067 without a remainder.

1, 9067

Least Common Multiple of 9065 and 9067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9065 and 9067, than apply into the LCM equation.

GCF(9065,9067) = 1
LCM(9065,9067) = ( 9065 × 9067) / 1
LCM(9065,9067) = 82192355 / 1
LCM(9065,9067) = 82192355

Properties of LCM 9065 and 9067

(i) The LCM of 9067 and 9065 is associative

LCM of 9065 and 9067 = LCM of 9067 and 9065

Related Least Common Multiples of 9065

Related Least Common Multiples of 9067

Frequently Asked Questions on LCM of 9065 and 9067

1. What is the LCM of 9065 and 9067?

Answer: LCM of 9065 and 9067 is 82192355.

2. What are the Factors of 9065?

Answer: Factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065. There are 12 integers that are factors of 9065. The greatest factor of 9065 is 9065.

3. What are the Factors of 9067?

Answer: Factors of 9067 are 1, 9067. There are 2 integers that are factors of 9067. The greatest factor of 9067 is 9067.

4. How to Find the LCM of 9065 and 9067?

Answer:

Least Common Multiple of 9065 and 9067 = 82192355

Step 1: Find the prime factorization of 9065

9065 = 5 x 7 x 7 x 37

Step 2: Find the prime factorization of 9067

9067 = 9067

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

LCM = 82192355 = 5 x 7 x 7 x 37 x 9067

Step 4: Therefore, the least common multiple of 9065 and 9067 is 82192355.