Least Common Multiple of 186 and 188

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 188 the smallest integer that is 17484 that is divisible by both numbers.

Least Common Multiple (LCM) of 186 and 188 is 17484.

LCM(186,188) = 17484

LCM of 186 and 188

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

LCM of:
and

Least Common Multiple of 186 and 188

LCM of 186 and 188 is 17484

Least common multiple can be found by multiplying the highest exponent prime factors of 186 and 188. First we will calculate the prime factors of 186 and 188.

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 188


2 188
2 94
47 47
1

Prime factors of 188 are 2,47. Prime factorization of 188 in exponential form is:

188 = 22×471

Now multiplying the highest exponent prime factors to calculate the LCM of 186 and 188.

LCM(186,188) = 22×31×311×471
LCM(186,188) = 17484

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 188

List of positive integer factors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Least Common Multiple of 186 and 188 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 188, than apply into the LCM equation.

GCF(186,188) = 2
LCM(186,188) = ( 186 × 188) / 2
LCM(186,188) = 34968 / 2
LCM(186,188) = 17484

Properties of LCM 186 and 188

(i) The LCM of 188 and 186 is associative

LCM of 186 and 188 = LCM of 188 and 186

Related Least Common Multiples of 186

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 186 and 188

1. What is the LCM of 186 and 188?

Answer: LCM of 186 and 188 is 17484.

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 188?

Answer: Factors of 188 are 1, 2, 4, 47, 94, 188. There are 6 integers that are factors of 188. The greatest factor of 188 is 188.

4. How to Find the LCM of 186 and 188?

Answer:

Least Common Multiple of 186 and 188 = 17484

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

Step 2: Find the prime factorization of 188

188 = 2 x 2 x 47

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

LCM = 17484 = 2 x 2 x 3 x 31 x 47

Step 4: Therefore, the least common multiple of 186 and 188 is 17484.