Least Common Multiple of 191 and 195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 191 and 195 the smallest integer that is 37245 that is divisible by both numbers.

Least Common Multiple (LCM) of 191 and 195 is 37245.

LCM(191,195) = 37245

LCM of 191 and 195

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

LCM of:
and

Least Common Multiple of 191 and 195

LCM of 191 and 195 is 37245

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 195. First we will calculate the prime factors of 191 and 195.

Prime Factorization of 191


191 191
1

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

Prime Factorization of 195


3 195
5 65
13 13
1

Prime factors of 195 are 3, 5,13. Prime factorization of 195 in exponential form is:

195 = 31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 195.

LCM(191,195) = 31×51×131×1911
LCM(191,195) = 37245

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1, 191

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Least Common Multiple of 191 and 195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 191 and 195, than apply into the LCM equation.

GCF(191,195) = 1
LCM(191,195) = ( 191 × 195) / 1
LCM(191,195) = 37245 / 1
LCM(191,195) = 37245

Properties of LCM 191 and 195

(i) The LCM of 195 and 191 is associative

LCM of 191 and 195 = LCM of 195 and 191

Related Least Common Multiples of 191

Related Least Common Multiples of 195

Frequently Asked Questions on LCM of 191 and 195

1. What is the LCM of 191 and 195?

Answer: LCM of 191 and 195 is 37245.

2. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

3. What are the Factors of 195?

Answer: Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. There are 8 integers that are factors of 195. The greatest factor of 195 is 195.

4. How to Find the LCM of 191 and 195?

Answer:

Least Common Multiple of 191 and 195 = 37245

Step 1: Find the prime factorization of 191

191 = 191

Step 2: Find the prime factorization of 195

195 = 3 x 5 x 13

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

LCM = 37245 = 3 x 5 x 13 x 191

Step 4: Therefore, the least common multiple of 191 and 195 is 37245.