Least Common Multiple of 9069 and 9076

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 9076 the smallest integer that is 82310244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9069 and 9076 is 82310244.

LCM(9069,9076) = 82310244

LCM of 9069 and 9076

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

LCM of:
and

Least Common Multiple of 9069 and 9076

LCM of 9069 and 9076 is 82310244

Least common multiple can be found by multiplying the highest exponent prime factors of 9069 and 9076. First we will calculate the prime factors of 9069 and 9076.

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 9076


2 9076
2 4538
2269 2269
1

Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:

9076 = 22×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 9069 and 9076.

LCM(9069,9076) = 22×31×22691×30231
LCM(9069,9076) = 82310244

Factors of 9069

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

1, 3, 3023, 9069

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1, 2, 4, 2269, 4538, 9076

Least Common Multiple of 9069 and 9076 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 9076, than apply into the LCM equation.

GCF(9069,9076) = 1
LCM(9069,9076) = ( 9069 × 9076) / 1
LCM(9069,9076) = 82310244 / 1
LCM(9069,9076) = 82310244

Properties of LCM 9069 and 9076

(i) The LCM of 9076 and 9069 is associative

LCM of 9069 and 9076 = LCM of 9076 and 9069

Related Least Common Multiples of 9069

Related Least Common Multiples of 9076

Frequently Asked Questions on LCM of 9069 and 9076

1. What is the LCM of 9069 and 9076?

Answer: LCM of 9069 and 9076 is 82310244.

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 9076?

Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.

4. How to Find the LCM of 9069 and 9076?

Answer:

Least Common Multiple of 9069 and 9076 = 82310244

Step 1: Find the prime factorization of 9069

9069 = 3 x 3023

Step 2: Find the prime factorization of 9076

9076 = 2 x 2 x 2269

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

LCM = 82310244 = 2 x 2 x 3 x 2269 x 3023

Step 4: Therefore, the least common multiple of 9069 and 9076 is 82310244.