Least Common Multiple of 195 and 197

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 197 the smallest integer that is 38415 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 197 is 38415.

LCM(195,197) = 38415

LCM of 195 and 197

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

LCM of:
and

Least Common Multiple of 195 and 197

LCM of 195 and 197 is 38415

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 197. First we will calculate the prime factors of 195 and 197.

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 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 197.

LCM(195,197) = 31×51×131×1971
LCM(195,197) = 38415

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 197

List of positive integer factors of 197 that divides 197 without a remainder.

1, 197

Least Common Multiple of 195 and 197 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 197, than apply into the LCM equation.

GCF(195,197) = 1
LCM(195,197) = ( 195 × 197) / 1
LCM(195,197) = 38415 / 1
LCM(195,197) = 38415

Properties of LCM 195 and 197

(i) The LCM of 197 and 195 is associative

LCM of 195 and 197 = LCM of 197 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 197

Frequently Asked Questions on LCM of 195 and 197

1. What is the LCM of 195 and 197?

Answer: LCM of 195 and 197 is 38415.

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 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

4. How to Find the LCM of 195 and 197?

Answer:

Least Common Multiple of 195 and 197 = 38415

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

Step 2: Find the prime factorization of 197

197 = 197

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

LCM = 38415 = 3 x 5 x 13 x 197

Step 4: Therefore, the least common multiple of 195 and 197 is 38415.