Least Common Multiple of 195 and 199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 195 and 199 the smallest integer that is 38805 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 199 is 38805.

LCM(195,199) = 38805

LCM of 195 and 199

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

LCM of:
and

Least Common Multiple of 195 and 199

LCM of 195 and 199 is 38805

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 199. First we will calculate the prime factors of 195 and 199.

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

Prime Factorization of 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 199.

LCM(195,199) = 31×51×131×1991
LCM(195,199) = 38805

Factors of 195

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

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

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1, 199

Least Common Multiple of 195 and 199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 199, than apply into the LCM equation.

GCF(195,199) = 1
LCM(195,199) = ( 195 × 199) / 1
LCM(195,199) = 38805 / 1
LCM(195,199) = 38805

Properties of LCM 195 and 199

(i) The LCM of 199 and 195 is associative

LCM of 195 and 199 = LCM of 199 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 199

Frequently Asked Questions on LCM of 195 and 199

1. What is the LCM of 195 and 199?

Answer: LCM of 195 and 199 is 38805.

2. 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.

3. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

4. How to Find the LCM of 195 and 199?

Answer:

Least Common Multiple of 195 and 199 = 38805

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

Step 2: Find the prime factorization of 199

199 = 199

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

LCM = 38805 = 3 x 5 x 13 x 199

Step 4: Therefore, the least common multiple of 195 and 199 is 38805.