Least Common Multiple of 192 and 193

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 193 the smallest integer that is 37056 that is divisible by both numbers.

Least Common Multiple (LCM) of 192 and 193 is 37056.

LCM(192,193) = 37056

LCM of 192 and 193

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

LCM of:
and

Least Common Multiple of 192 and 193

LCM of 192 and 193 is 37056

Least common multiple can be found by multiplying the highest exponent prime factors of 192 and 193. First we will calculate the prime factors of 192 and 193.

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 193


193 193
1

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

193 = 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 192 and 193.

LCM(192,193) = 26×31×1931
LCM(192,193) = 37056

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 193

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

1, 193

Least Common Multiple of 192 and 193 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 193, than apply into the LCM equation.

GCF(192,193) = 1
LCM(192,193) = ( 192 × 193) / 1
LCM(192,193) = 37056 / 1
LCM(192,193) = 37056

Properties of LCM 192 and 193

(i) The LCM of 193 and 192 is associative

LCM of 192 and 193 = LCM of 193 and 192

Related Least Common Multiples of 192

Related Least Common Multiples of 193

Frequently Asked Questions on LCM of 192 and 193

1. What is the LCM of 192 and 193?

Answer: LCM of 192 and 193 is 37056.

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 193?

Answer: Factors of 193 are 1, 193. There are 2 integers that are factors of 193. The greatest factor of 193 is 193.

4. How to Find the LCM of 192 and 193?

Answer:

Least Common Multiple of 192 and 193 = 37056

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 193

193 = 193

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

LCM = 37056 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 193

Step 4: Therefore, the least common multiple of 192 and 193 is 37056.