Least Common Multiple of 187 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 187 and 192 the smallest integer that is 35904 that is divisible by both numbers.

Least Common Multiple (LCM) of 187 and 192 is 35904.

LCM(187,192) = 35904

LCM of 187 and 192

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

LCM of:
and

Least Common Multiple of 187 and 192

LCM of 187 and 192 is 35904

Least common multiple can be found by multiplying the highest exponent prime factors of 187 and 192. First we will calculate the prime factors of 187 and 192.

Prime Factorization of 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

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 187 and 192.

LCM(187,192) = 26×31×111×171
LCM(187,192) = 35904

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 187 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 187 and 192, than apply into the LCM equation.

GCF(187,192) = 1
LCM(187,192) = ( 187 × 192) / 1
LCM(187,192) = 35904 / 1
LCM(187,192) = 35904

Properties of LCM 187 and 192

(i) The LCM of 192 and 187 is associative

LCM of 187 and 192 = LCM of 192 and 187

Related Least Common Multiples of 187

Related Least Common Multiples of 192

Frequently Asked Questions on LCM of 187 and 192

1. What is the LCM of 187 and 192?

Answer: LCM of 187 and 192 is 35904.

2. What are the Factors of 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

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 187 and 192?

Answer:

Least Common Multiple of 187 and 192 = 35904

Step 1: Find the prime factorization of 187

187 = 11 x 17

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 = 35904 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17

Step 4: Therefore, the least common multiple of 187 and 192 is 35904.