Least Common Multiple of 193 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 193 and 195 the smallest integer that is 37635 that is divisible by both numbers.

Least Common Multiple (LCM) of 193 and 195 is 37635.

LCM(193,195) = 37635

LCM of 193 and 195

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

LCM of:
and

Least Common Multiple of 193 and 195

LCM of 193 and 195 is 37635

Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 195. First we will calculate the prime factors of 193 and 195.

Prime Factorization of 193


193 193
1

Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:

193 = 1931

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 193 and 195.

LCM(193,195) = 31×51×131×1931
LCM(193,195) = 37635

Factors of 193

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

1, 193

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 193 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 193 and 195, than apply into the LCM equation.

GCF(193,195) = 1
LCM(193,195) = ( 193 × 195) / 1
LCM(193,195) = 37635 / 1
LCM(193,195) = 37635

Properties of LCM 193 and 195

(i) The LCM of 195 and 193 is associative

LCM of 193 and 195 = LCM of 195 and 193

Related Least Common Multiples of 193

Related Least Common Multiples of 195

Frequently Asked Questions on LCM of 193 and 195

1. What is the LCM of 193 and 195?

Answer: LCM of 193 and 195 is 37635.

2. 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.

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 193 and 195?

Answer:

Least Common Multiple of 193 and 195 = 37635

Step 1: Find the prime factorization of 193

193 = 193

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 = 37635 = 3 x 5 x 13 x 193

Step 4: Therefore, the least common multiple of 193 and 195 is 37635.