Least Common Multiple of 187 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 187 and 195 the smallest integer that is 36465 that is divisible by both numbers.

Least Common Multiple (LCM) of 187 and 195 is 36465.

LCM(187,195) = 36465

LCM of 187 and 195

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

LCM of:
and

Least Common Multiple of 187 and 195

LCM of 187 and 195 is 36465

Least common multiple can be found by multiplying the highest exponent prime factors of 187 and 195. First we will calculate the prime factors of 187 and 195.

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 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 187 and 195.

LCM(187,195) = 31×51×111×131×171
LCM(187,195) = 36465

Factors of 187

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

1, 11, 17, 187

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 187 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 187 and 195, than apply into the LCM equation.

GCF(187,195) = 1
LCM(187,195) = ( 187 × 195) / 1
LCM(187,195) = 36465 / 1
LCM(187,195) = 36465

Properties of LCM 187 and 195

(i) The LCM of 195 and 187 is associative

LCM of 187 and 195 = LCM of 195 and 187

Related Least Common Multiples of 187

Related Least Common Multiples of 195

Frequently Asked Questions on LCM of 187 and 195

1. What is the LCM of 187 and 195?

Answer: LCM of 187 and 195 is 36465.

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 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 187 and 195?

Answer:

Least Common Multiple of 187 and 195 = 36465

Step 1: Find the prime factorization of 187

187 = 11 x 17

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 = 36465 = 3 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 187 and 195 is 36465.