Least Common Multiple of 194 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 194 and 195 the smallest integer that is 37830 that is divisible by both numbers.

Least Common Multiple (LCM) of 194 and 195 is 37830.

LCM(194,195) = 37830

LCM of 194 and 195

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

LCM of:
and

Least Common Multiple of 194 and 195

LCM of 194 and 195 is 37830

Least common multiple can be found by multiplying the highest exponent prime factors of 194 and 195. First we will calculate the prime factors of 194 and 195.

Prime Factorization of 194


2 194
97 97
1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

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 194 and 195.

LCM(194,195) = 21×31×51×131×971
LCM(194,195) = 37830

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 194 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 194 and 195, than apply into the LCM equation.

GCF(194,195) = 1
LCM(194,195) = ( 194 × 195) / 1
LCM(194,195) = 37830 / 1
LCM(194,195) = 37830

Properties of LCM 194 and 195

(i) The LCM of 195 and 194 is associative

LCM of 194 and 195 = LCM of 195 and 194

Related Least Common Multiples of 194

Related Least Common Multiples of 195

Frequently Asked Questions on LCM of 194 and 195

1. What is the LCM of 194 and 195?

Answer: LCM of 194 and 195 is 37830.

2. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

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 194 and 195?

Answer:

Least Common Multiple of 194 and 195 = 37830

Step 1: Find the prime factorization of 194

194 = 2 x 97

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 = 37830 = 2 x 3 x 5 x 13 x 97

Step 4: Therefore, the least common multiple of 194 and 195 is 37830.