Least Common Multiple of 186 and 187

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 187 the smallest integer that is 34782 that is divisible by both numbers.

Least Common Multiple (LCM) of 186 and 187 is 34782.

LCM(186,187) = 34782

LCM of 186 and 187

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

LCM of:
and

Least Common Multiple of 186 and 187

LCM of 186 and 187 is 34782

Least common multiple can be found by multiplying the highest exponent prime factors of 186 and 187. First we will calculate the prime factors of 186 and 187.

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 187


11 187
17 17
1

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

187 = 111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 186 and 187.

LCM(186,187) = 21×31×111×171×311
LCM(186,187) = 34782

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 187

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

1, 11, 17, 187

Least Common Multiple of 186 and 187 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 187, than apply into the LCM equation.

GCF(186,187) = 1
LCM(186,187) = ( 186 × 187) / 1
LCM(186,187) = 34782 / 1
LCM(186,187) = 34782

Properties of LCM 186 and 187

(i) The LCM of 187 and 186 is associative

LCM of 186 and 187 = LCM of 187 and 186

Related Least Common Multiples of 186

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 186 and 187

1. What is the LCM of 186 and 187?

Answer: LCM of 186 and 187 is 34782.

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 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.

4. How to Find the LCM of 186 and 187?

Answer:

Least Common Multiple of 186 and 187 = 34782

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

Step 2: Find the prime factorization of 187

187 = 11 x 17

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

LCM = 34782 = 2 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 186 and 187 is 34782.