Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 190 and 191 the smallest integer that is 36290 that is divisible by both numbers.
Least Common Multiple (LCM) of 190 and 191 is 36290.
LCM(190,191) = 36290
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 190 and 191. First we will calculate the prime factors of 190 and 191.
Prime Factorization of 190
2 | 190 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:
190 = 21×51×191
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 190 and 191.
LCM(190,191) = 21×51×191×1911
LCM(190,191) = 36290
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
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 190 and 191, than apply into the LCM equation.
GCF(190,191) = 1
LCM(190,191) = ( 190 × 191) / 1
LCM(190,191) = 36290 / 1
LCM(190,191) = 36290
(i) The LCM of 191 and 190 is associative
LCM of 190 and 191 = LCM of 191 and 190
1. What is the LCM of 190 and 191?
Answer: LCM of 190 and 191 is 36290.
2. What are the Factors of 190?
Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.
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 190 and 191?
Answer:
Least Common Multiple of 190 and 191 = 36290
Step 1: Find the prime factorization of 190
190 = 2 x 5 x 19
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 = 36290 = 2 x 5 x 19 x 191
Step 4: Therefore, the least common multiple of 190 and 191 is 36290.