Least Common Multiple of 9183 and 9186

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 9186 the smallest integer that is 28118346 that is divisible by both numbers.

Least Common Multiple (LCM) of 9183 and 9186 is 28118346.

LCM(9183,9186) = 28118346

LCM of 9183 and 9186

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

LCM of:
and

Least Common Multiple of 9183 and 9186

LCM of 9183 and 9186 is 28118346

Least common multiple can be found by multiplying the highest exponent prime factors of 9183 and 9186. First we will calculate the prime factors of 9183 and 9186.

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 9186


2 9186
3 4593
1531 1531
1

Prime factors of 9186 are 2, 3,1531. Prime factorization of 9186 in exponential form is:

9186 = 21×31×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 9183 and 9186.

LCM(9183,9186) = 21×31×15311×30611
LCM(9183,9186) = 28118346

Factors of 9183

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

1, 3, 3061, 9183

Factors of 9186

List of positive integer factors of 9186 that divides 9186 without a remainder.

1, 2, 3, 6, 1531, 3062, 4593, 9186

Least Common Multiple of 9183 and 9186 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 9186, than apply into the LCM equation.

GCF(9183,9186) = 3
LCM(9183,9186) = ( 9183 × 9186) / 3
LCM(9183,9186) = 84355038 / 3
LCM(9183,9186) = 28118346

Properties of LCM 9183 and 9186

(i) The LCM of 9186 and 9183 is associative

LCM of 9183 and 9186 = LCM of 9186 and 9183

Related Least Common Multiples of 9183

Related Least Common Multiples of 9186

Frequently Asked Questions on LCM of 9183 and 9186

1. What is the LCM of 9183 and 9186?

Answer: LCM of 9183 and 9186 is 28118346.

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 9186?

Answer: Factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186. There are 8 integers that are factors of 9186. The greatest factor of 9186 is 9186.

4. How to Find the LCM of 9183 and 9186?

Answer:

Least Common Multiple of 9183 and 9186 = 28118346

Step 1: Find the prime factorization of 9183

9183 = 3 x 3061

Step 2: Find the prime factorization of 9186

9186 = 2 x 3 x 1531

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

LCM = 28118346 = 2 x 3 x 1531 x 3061

Step 4: Therefore, the least common multiple of 9183 and 9186 is 28118346.