Least Common Multiple of 9069 and 9077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9069 and 9077 the smallest integer that is 82319313 that is divisible by both numbers.

Least Common Multiple (LCM) of 9069 and 9077 is 82319313.

LCM(9069,9077) = 82319313

LCM of 9069 and 9077

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

LCM of:
and

Least Common Multiple of 9069 and 9077

LCM of 9069 and 9077 is 82319313

Least common multiple can be found by multiplying the highest exponent prime factors of 9069 and 9077. First we will calculate the prime factors of 9069 and 9077.

Prime Factorization of 9069


3 9069
3023 3023
1

Prime factors of 9069 are 3,3023. Prime factorization of 9069 in exponential form is:

9069 = 31×30231

Prime Factorization of 9077


29 9077
313 313
1

Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:

9077 = 291×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 9069 and 9077.

LCM(9069,9077) = 31×291×3131×30231
LCM(9069,9077) = 82319313

Factors of 9069

List of positive integer factors of 9069 that divides 9069 without a remainder.

1, 3, 3023, 9069

Factors of 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1, 29, 313, 9077

Least Common Multiple of 9069 and 9077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9069 and 9077, than apply into the LCM equation.

GCF(9069,9077) = 1
LCM(9069,9077) = ( 9069 × 9077) / 1
LCM(9069,9077) = 82319313 / 1
LCM(9069,9077) = 82319313

Properties of LCM 9069 and 9077

(i) The LCM of 9077 and 9069 is associative

LCM of 9069 and 9077 = LCM of 9077 and 9069

Related Least Common Multiples of 9069

Related Least Common Multiples of 9077

Frequently Asked Questions on LCM of 9069 and 9077

1. What is the LCM of 9069 and 9077?

Answer: LCM of 9069 and 9077 is 82319313.

2. What are the Factors of 9069?

Answer: Factors of 9069 are 1, 3, 3023, 9069. There are 4 integers that are factors of 9069. The greatest factor of 9069 is 9069.

3. What are the Factors of 9077?

Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.

4. How to Find the LCM of 9069 and 9077?

Answer:

Least Common Multiple of 9069 and 9077 = 82319313

Step 1: Find the prime factorization of 9069

9069 = 3 x 3023

Step 2: Find the prime factorization of 9077

9077 = 29 x 313

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

LCM = 82319313 = 3 x 29 x 313 x 3023

Step 4: Therefore, the least common multiple of 9069 and 9077 is 82319313.