Least Common Multiple of 187 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 187 and 193 the smallest integer that is 36091 that is divisible by both numbers.

Least Common Multiple (LCM) of 187 and 193 is 36091.

LCM(187,193) = 36091

LCM of 187 and 193

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

LCM of:
and

Least Common Multiple of 187 and 193

LCM of 187 and 193 is 36091

Least common multiple can be found by multiplying the highest exponent prime factors of 187 and 193. First we will calculate the prime factors of 187 and 193.

Prime Factorization of 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

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 187 and 193.

LCM(187,193) = 111×171×1931
LCM(187,193) = 36091

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Factors of 193

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

1, 193

Least Common Multiple of 187 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 187 and 193, than apply into the LCM equation.

GCF(187,193) = 1
LCM(187,193) = ( 187 × 193) / 1
LCM(187,193) = 36091 / 1
LCM(187,193) = 36091

Properties of LCM 187 and 193

(i) The LCM of 193 and 187 is associative

LCM of 187 and 193 = LCM of 193 and 187

Related Least Common Multiples of 187

Related Least Common Multiples of 193

Frequently Asked Questions on LCM of 187 and 193

1. What is the LCM of 187 and 193?

Answer: LCM of 187 and 193 is 36091.

2. What are the Factors of 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

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 187 and 193?

Answer:

Least Common Multiple of 187 and 193 = 36091

Step 1: Find the prime factorization of 187

187 = 11 x 17

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 = 36091 = 11 x 17 x 193

Step 4: Therefore, the least common multiple of 187 and 193 is 36091.