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 191 the smallest integer that is 35908 that is divisible by both numbers.
Least Common Multiple (LCM) of 188 and 191 is 35908.
LCM(188,191) = 35908
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 188 and 191. First we will calculate the prime factors of 188 and 191.
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 191
191 | 191 |
1 |
Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:
191 = 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 188 and 191.
LCM(188,191) = 22×471×1911
LCM(188,191) = 35908
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1, 191
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 188 and 191, than apply into the LCM equation.
GCF(188,191) = 1
LCM(188,191) = ( 188 × 191) / 1
LCM(188,191) = 35908 / 1
LCM(188,191) = 35908
(i) The LCM of 191 and 188 is associative
LCM of 188 and 191 = LCM of 191 and 188
1. What is the LCM of 188 and 191?
Answer: LCM of 188 and 191 is 35908.
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 191?
Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.
4. How to Find the LCM of 188 and 191?
Answer:
Least Common Multiple of 188 and 191 = 35908
Step 1: Find the prime factorization of 188
188 = 2 x 2 x 47
Step 2: Find the prime factorization of 191
191 = 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35908 = 2 x 2 x 47 x 191
Step 4: Therefore, the least common multiple of 188 and 191 is 35908.