Least Common Multiple of 186 and 194

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 194 the smallest integer that is 18042 that is divisible by both numbers.

Least Common Multiple (LCM) of 186 and 194 is 18042.

LCM(186,194) = 18042

LCM of 186 and 194

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

LCM of:
and

Least Common Multiple of 186 and 194

LCM of 186 and 194 is 18042

Least common multiple can be found by multiplying the highest exponent prime factors of 186 and 194. First we will calculate the prime factors of 186 and 194.

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 194


2 194
97 97
1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

Now multiplying the highest exponent prime factors to calculate the LCM of 186 and 194.

LCM(186,194) = 21×31×311×971
LCM(186,194) = 18042

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 194

List of positive integer factors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Least Common Multiple of 186 and 194 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 194, than apply into the LCM equation.

GCF(186,194) = 2
LCM(186,194) = ( 186 × 194) / 2
LCM(186,194) = 36084 / 2
LCM(186,194) = 18042

Properties of LCM 186 and 194

(i) The LCM of 194 and 186 is associative

LCM of 186 and 194 = LCM of 194 and 186

Related Least Common Multiples of 186

Related Least Common Multiples of 194

Frequently Asked Questions on LCM of 186 and 194

1. What is the LCM of 186 and 194?

Answer: LCM of 186 and 194 is 18042.

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 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

4. How to Find the LCM of 186 and 194?

Answer:

Least Common Multiple of 186 and 194 = 18042

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

Step 2: Find the prime factorization of 194

194 = 2 x 97

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

LCM = 18042 = 2 x 3 x 31 x 97

Step 4: Therefore, the least common multiple of 186 and 194 is 18042.