Least Common Multiple of 190 and 192

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 192 the smallest integer that is 18240 that is divisible by both numbers.

Least Common Multiple (LCM) of 190 and 192 is 18240.

LCM(190,192) = 18240

LCM of 190 and 192

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

LCM of:
and

Least Common Multiple of 190 and 192

LCM of 190 and 192 is 18240

Least common multiple can be found by multiplying the highest exponent prime factors of 190 and 192. First we will calculate the prime factors of 190 and 192.

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 192


2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 192 are 2,3. Prime factorization of 192 in exponential form is:

192 = 26×31

Now multiplying the highest exponent prime factors to calculate the LCM of 190 and 192.

LCM(190,192) = 26×31×51×191
LCM(190,192) = 18240

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 192

List of positive integer factors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Least Common Multiple of 190 and 192 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 192, than apply into the LCM equation.

GCF(190,192) = 2
LCM(190,192) = ( 190 × 192) / 2
LCM(190,192) = 36480 / 2
LCM(190,192) = 18240

Properties of LCM 190 and 192

(i) The LCM of 192 and 190 is associative

LCM of 190 and 192 = LCM of 192 and 190

Related Least Common Multiples of 190

Related Least Common Multiples of 192

Frequently Asked Questions on LCM of 190 and 192

1. What is the LCM of 190 and 192?

Answer: LCM of 190 and 192 is 18240.

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 192?

Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.

4. How to Find the LCM of 190 and 192?

Answer:

Least Common Multiple of 190 and 192 = 18240

Step 1: Find the prime factorization of 190

190 = 2 x 5 x 19

Step 2: Find the prime factorization of 192

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 18240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 190 and 192 is 18240.