Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 191 and 196 the smallest integer that is 37436 that is divisible by both numbers.
Least Common Multiple (LCM) of 191 and 196 is 37436.
LCM(191,196) = 37436
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 191 and 196. First we will calculate the prime factors of 191 and 196.
Prime Factorization of 191
191 | 191 |
1 |
Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:
191 = 1911
Prime Factorization of 196
2 | 196 |
2 | 98 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:
196 = 22×72
Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 196.
LCM(191,196) = 22×72×1911
LCM(191,196) = 37436
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1, 191
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 191 and 196, than apply into the LCM equation.
GCF(191,196) = 1
LCM(191,196) = ( 191 × 196) / 1
LCM(191,196) = 37436 / 1
LCM(191,196) = 37436
(i) The LCM of 196 and 191 is associative
LCM of 191 and 196 = LCM of 196 and 191
1. What is the LCM of 191 and 196?
Answer: LCM of 191 and 196 is 37436.
2. 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.
3. What are the Factors of 196?
Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.
4. How to Find the LCM of 191 and 196?
Answer:
Least Common Multiple of 191 and 196 = 37436
Step 1: Find the prime factorization of 191
191 = 191
Step 2: Find the prime factorization of 196
196 = 2 x 2 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37436 = 2 x 2 x 7 x 7 x 191
Step 4: Therefore, the least common multiple of 191 and 196 is 37436.