Least Common Multiple of 186 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 186 and 192 the smallest integer that is 5952 that is divisible by both numbers.

Least Common Multiple (LCM) of 186 and 192 is 5952.

LCM(186,192) = 5952

LCM of 186 and 192

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

LCM of:
and

Least Common Multiple of 186 and 192

LCM of 186 and 192 is 5952

Least common multiple can be found by multiplying the highest exponent prime factors of 186 and 192. First we will calculate the prime factors of 186 and 192.

Prime Factorization of 186


2 186
3 93
31 31
1

Prime factors of 186 are 2, 3,31. Prime factorization of 186 in exponential form is:

186 = 21×31×311

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 186 and 192.

LCM(186,192) = 26×31×311
LCM(186,192) = 5952

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 186 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 186 and 192, than apply into the LCM equation.

GCF(186,192) = 6
LCM(186,192) = ( 186 × 192) / 6
LCM(186,192) = 35712 / 6
LCM(186,192) = 5952

Properties of LCM 186 and 192

(i) The LCM of 192 and 186 is associative

LCM of 186 and 192 = LCM of 192 and 186

Related Least Common Multiples of 186

Related Least Common Multiples of 192

Frequently Asked Questions on LCM of 186 and 192

1. What is the LCM of 186 and 192?

Answer: LCM of 186 and 192 is 5952.

2. What are the Factors of 186?

Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.

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 186 and 192?

Answer:

Least Common Multiple of 186 and 192 = 5952

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

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 = 5952 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31

Step 4: Therefore, the least common multiple of 186 and 192 is 5952.