Least Common Multiple of 189 and 193

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 193 the smallest integer that is 36477 that is divisible by both numbers.

Least Common Multiple (LCM) of 189 and 193 is 36477.

LCM(189,193) = 36477

LCM of 189 and 193

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

LCM of:
and

Least Common Multiple of 189 and 193

LCM of 189 and 193 is 36477

Least common multiple can be found by multiplying the highest exponent prime factors of 189 and 193. First we will calculate the prime factors of 189 and 193.

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 193


193 193
1

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 189 and 193.

LCM(189,193) = 33×71×1931
LCM(189,193) = 36477

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 193

List of positive integer factors of 193 that divides 193 without a remainder.

1, 193

Least Common Multiple of 189 and 193 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 193, than apply into the LCM equation.

GCF(189,193) = 1
LCM(189,193) = ( 189 × 193) / 1
LCM(189,193) = 36477 / 1
LCM(189,193) = 36477

Properties of LCM 189 and 193

(i) The LCM of 193 and 189 is associative

LCM of 189 and 193 = LCM of 193 and 189

Related Least Common Multiples of 189

Related Least Common Multiples of 193

Frequently Asked Questions on LCM of 189 and 193

1. What is the LCM of 189 and 193?

Answer: LCM of 189 and 193 is 36477.

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 193?

Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.

4. How to Find the LCM of 189 and 193?

Answer:

Least Common Multiple of 189 and 193 = 36477

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 193

193 = 193

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

LCM = 36477 = 3 x 3 x 3 x 7 x 193

Step 4: Therefore, the least common multiple of 189 and 193 is 36477.