Least Common Multiple of 192 and 194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 192 and 194 the smallest integer that is 18624 that is divisible by both numbers.

Least Common Multiple (LCM) of 192 and 194 is 18624.

LCM(192,194) = 18624

LCM of 192 and 194

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

LCM of:
and

Least Common Multiple of 192 and 194

LCM of 192 and 194 is 18624

Least common multiple can be found by multiplying the highest exponent prime factors of 192 and 194. First we will calculate the prime factors of 192 and 194.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 192 and 194.

LCM(192,194) = 26×31×971
LCM(192,194) = 18624

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

Factors of 194

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

1, 2, 97, 194

Least Common Multiple of 192 and 194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 192 and 194, than apply into the LCM equation.

GCF(192,194) = 2
LCM(192,194) = ( 192 × 194) / 2
LCM(192,194) = 37248 / 2
LCM(192,194) = 18624

Properties of LCM 192 and 194

(i) The LCM of 194 and 192 is associative

LCM of 192 and 194 = LCM of 194 and 192

Related Least Common Multiples of 192

Related Least Common Multiples of 194

Frequently Asked Questions on LCM of 192 and 194

1. What is the LCM of 192 and 194?

Answer: LCM of 192 and 194 is 18624.

2. 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.

3. 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.

4. How to Find the LCM of 192 and 194?

Answer:

Least Common Multiple of 192 and 194 = 18624

Step 1: Find the prime factorization of 192

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

Step 2: Find the prime factorization of 194

194 = 2 x 97

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

LCM = 18624 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 4: Therefore, the least common multiple of 192 and 194 is 18624.