Least Common Multiple of 9183 and 9189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9183 and 9189 the smallest integer that is 28127529 that is divisible by both numbers.

Least Common Multiple (LCM) of 9183 and 9189 is 28127529.

LCM(9183,9189) = 28127529

LCM of 9183 and 9189

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

LCM of:
and

Least Common Multiple of 9183 and 9189

LCM of 9183 and 9189 is 28127529

Least common multiple can be found by multiplying the highest exponent prime factors of 9183 and 9189. First we will calculate the prime factors of 9183 and 9189.

Prime Factorization of 9183


3 9183
3061 3061
1

Prime factors of 9183 are 3,3061. Prime factorization of 9183 in exponential form is:

9183 = 31×30611

Prime Factorization of 9189


3 9189
3 3063
1021 1021
1

Prime factors of 9189 are 3,1021. Prime factorization of 9189 in exponential form is:

9189 = 32×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 9183 and 9189.

LCM(9183,9189) = 32×10211×30611
LCM(9183,9189) = 28127529

Factors of 9183

List of positive integer factors of 9183 that divides 9183 without a remainder.

1, 3, 3061, 9183

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1, 3, 9, 1021, 3063, 9189

Least Common Multiple of 9183 and 9189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9183 and 9189, than apply into the LCM equation.

GCF(9183,9189) = 3
LCM(9183,9189) = ( 9183 × 9189) / 3
LCM(9183,9189) = 84382587 / 3
LCM(9183,9189) = 28127529

Properties of LCM 9183 and 9189

(i) The LCM of 9189 and 9183 is associative

LCM of 9183 and 9189 = LCM of 9189 and 9183

Related Least Common Multiples of 9183

Related Least Common Multiples of 9189

Frequently Asked Questions on LCM of 9183 and 9189

1. What is the LCM of 9183 and 9189?

Answer: LCM of 9183 and 9189 is 28127529.

2. What are the Factors of 9183?

Answer: Factors of 9183 are 1, 3, 3061, 9183. There are 4 integers that are factors of 9183. The greatest factor of 9183 is 9183.

3. What are the Factors of 9189?

Answer: Factors of 9189 are 1, 3, 9, 1021, 3063, 9189. There are 6 integers that are factors of 9189. The greatest factor of 9189 is 9189.

4. How to Find the LCM of 9183 and 9189?

Answer:

Least Common Multiple of 9183 and 9189 = 28127529

Step 1: Find the prime factorization of 9183

9183 = 3 x 3061

Step 2: Find the prime factorization of 9189

9189 = 3 x 3 x 1021

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

LCM = 28127529 = 3 x 3 x 1021 x 3061

Step 4: Therefore, the least common multiple of 9183 and 9189 is 28127529.