Least Common Multiple of 189 and 194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 189 and 194 the smallest integer that is 36666 that is divisible by both numbers.

Least Common Multiple (LCM) of 189 and 194 is 36666.

LCM(189,194) = 36666

LCM of 189 and 194

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

LCM of:
and

Least Common Multiple of 189 and 194

LCM of 189 and 194 is 36666

Least common multiple can be found by multiplying the highest exponent prime factors of 189 and 194. First we will calculate the prime factors of 189 and 194.

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Prime Factorization of 194


2 194
97 97
1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

Now multiplying the highest exponent prime factors to calculate the LCM of 189 and 194.

LCM(189,194) = 21×33×71×971
LCM(189,194) = 36666

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Least Common Multiple of 189 and 194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 189 and 194, than apply into the LCM equation.

GCF(189,194) = 1
LCM(189,194) = ( 189 × 194) / 1
LCM(189,194) = 36666 / 1
LCM(189,194) = 36666

Properties of LCM 189 and 194

(i) The LCM of 194 and 189 is associative

LCM of 189 and 194 = LCM of 194 and 189

Related Least Common Multiples of 189

Related Least Common Multiples of 194

Frequently Asked Questions on LCM of 189 and 194

1. What is the LCM of 189 and 194?

Answer: LCM of 189 and 194 is 36666.

2. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

3. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

4. How to Find the LCM of 189 and 194?

Answer:

Least Common Multiple of 189 and 194 = 36666

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 194

194 = 2 x 97

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

LCM = 36666 = 2 x 3 x 3 x 3 x 7 x 97

Step 4: Therefore, the least common multiple of 189 and 194 is 36666.