Least Common Multiple of 9189 and 9194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9189 and 9194 the smallest integer that is 84483666 that is divisible by both numbers.

Least Common Multiple (LCM) of 9189 and 9194 is 84483666.

LCM(9189,9194) = 84483666

LCM of 9189 and 9194

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

LCM of:
and

Least Common Multiple of 9189 and 9194

LCM of 9189 and 9194 is 84483666

Least common multiple can be found by multiplying the highest exponent prime factors of 9189 and 9194. First we will calculate the prime factors of 9189 and 9194.

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

Prime Factorization of 9194


2 9194
4597 4597
1

Prime factors of 9194 are 2,4597. Prime factorization of 9194 in exponential form is:

9194 = 21×45971

Now multiplying the highest exponent prime factors to calculate the LCM of 9189 and 9194.

LCM(9189,9194) = 21×32×10211×45971
LCM(9189,9194) = 84483666

Factors of 9189

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

1, 3, 9, 1021, 3063, 9189

Factors of 9194

List of positive integer factors of 9194 that divides 9194 without a remainder.

1, 2, 4597, 9194

Least Common Multiple of 9189 and 9194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9189 and 9194, than apply into the LCM equation.

GCF(9189,9194) = 1
LCM(9189,9194) = ( 9189 × 9194) / 1
LCM(9189,9194) = 84483666 / 1
LCM(9189,9194) = 84483666

Properties of LCM 9189 and 9194

(i) The LCM of 9194 and 9189 is associative

LCM of 9189 and 9194 = LCM of 9194 and 9189

Related Least Common Multiples of 9189

Related Least Common Multiples of 9194

Frequently Asked Questions on LCM of 9189 and 9194

1. What is the LCM of 9189 and 9194?

Answer: LCM of 9189 and 9194 is 84483666.

2. 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.

3. What are the Factors of 9194?

Answer: Factors of 9194 are 1, 2, 4597, 9194. There are 4 integers that are factors of 9194. The greatest factor of 9194 is 9194.

4. How to Find the LCM of 9189 and 9194?

Answer:

Least Common Multiple of 9189 and 9194 = 84483666

Step 1: Find the prime factorization of 9189

9189 = 3 x 3 x 1021

Step 2: Find the prime factorization of 9194

9194 = 2 x 4597

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

LCM = 84483666 = 2 x 3 x 3 x 1021 x 4597

Step 4: Therefore, the least common multiple of 9189 and 9194 is 84483666.