Least Common Multiple of 188 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 188 and 194 the smallest integer that is 18236 that is divisible by both numbers.

Least Common Multiple (LCM) of 188 and 194 is 18236.

LCM(188,194) = 18236

LCM of 188 and 194

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

LCM of:
and

Least Common Multiple of 188 and 194

LCM of 188 and 194 is 18236

Least common multiple can be found by multiplying the highest exponent prime factors of 188 and 194. First we will calculate the prime factors of 188 and 194.

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

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 188 and 194.

LCM(188,194) = 22×471×971
LCM(188,194) = 18236

Factors of 188

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

1, 2, 4, 47, 94, 188

Factors of 194

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

1, 2, 97, 194

Least Common Multiple of 188 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 188 and 194, than apply into the LCM equation.

GCF(188,194) = 2
LCM(188,194) = ( 188 × 194) / 2
LCM(188,194) = 36472 / 2
LCM(188,194) = 18236

Properties of LCM 188 and 194

(i) The LCM of 194 and 188 is associative

LCM of 188 and 194 = LCM of 194 and 188

Related Least Common Multiples of 188

Related Least Common Multiples of 194

Frequently Asked Questions on LCM of 188 and 194

1. What is the LCM of 188 and 194?

Answer: LCM of 188 and 194 is 18236.

2. 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.

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 188 and 194?

Answer:

Least Common Multiple of 188 and 194 = 18236

Step 1: Find the prime factorization of 188

188 = 2 x 2 x 47

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 = 18236 = 2 x 2 x 47 x 97

Step 4: Therefore, the least common multiple of 188 and 194 is 18236.