Least Common Multiple of 190 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 190 and 195 the smallest integer that is 7410 that is divisible by both numbers.

Least Common Multiple (LCM) of 190 and 195 is 7410.

LCM(190,195) = 7410

LCM of 190 and 195

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

LCM of:
and

Least Common Multiple of 190 and 195

LCM of 190 and 195 is 7410

Least common multiple can be found by multiplying the highest exponent prime factors of 190 and 195. First we will calculate the prime factors of 190 and 195.

Prime Factorization of 190


2 190
5 95
19 19
1

Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:

190 = 21×51×191

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 190 and 195.

LCM(190,195) = 21×31×51×131×191
LCM(190,195) = 7410

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

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 190 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 190 and 195, than apply into the LCM equation.

GCF(190,195) = 5
LCM(190,195) = ( 190 × 195) / 5
LCM(190,195) = 37050 / 5
LCM(190,195) = 7410

Properties of LCM 190 and 195

(i) The LCM of 195 and 190 is associative

LCM of 190 and 195 = LCM of 195 and 190

Related Least Common Multiples of 190

Related Least Common Multiples of 195

Frequently Asked Questions on LCM of 190 and 195

1. What is the LCM of 190 and 195?

Answer: LCM of 190 and 195 is 7410.

2. What are the Factors of 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

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 190 and 195?

Answer:

Least Common Multiple of 190 and 195 = 7410

Step 1: Find the prime factorization of 190

190 = 2 x 5 x 19

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 = 7410 = 2 x 3 x 5 x 13 x 19

Step 4: Therefore, the least common multiple of 190 and 195 is 7410.