Least Common Multiple of 191 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 191 and 192 the smallest integer that is 36672 that is divisible by both numbers.

Least Common Multiple (LCM) of 191 and 192 is 36672.

LCM(191,192) = 36672

LCM of 191 and 192

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

LCM of:
and

Least Common Multiple of 191 and 192

LCM of 191 and 192 is 36672

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 192. First we will calculate the prime factors of 191 and 192.

Prime Factorization of 191


191 191
1

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

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 191 and 192.

LCM(191,192) = 26×31×1911
LCM(191,192) = 36672

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1, 191

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 191 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 191 and 192, than apply into the LCM equation.

GCF(191,192) = 1
LCM(191,192) = ( 191 × 192) / 1
LCM(191,192) = 36672 / 1
LCM(191,192) = 36672

Properties of LCM 191 and 192

(i) The LCM of 192 and 191 is associative

LCM of 191 and 192 = LCM of 192 and 191

Related Least Common Multiples of 191

Related Least Common Multiples of 192

Frequently Asked Questions on LCM of 191 and 192

1. What is the LCM of 191 and 192?

Answer: LCM of 191 and 192 is 36672.

2. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

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 191 and 192?

Answer:

Least Common Multiple of 191 and 192 = 36672

Step 1: Find the prime factorization of 191

191 = 191

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 = 36672 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 191

Step 4: Therefore, the least common multiple of 191 and 192 is 36672.