Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3186 and 3191 the smallest integer that is 10166526 that is divisible by both numbers.
Least Common Multiple (LCM) of 3186 and 3191 is 10166526.
LCM(3186,3191) = 10166526
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 3186 and 3191. First we will calculate the prime factors of 3186 and 3191.
Prime Factorization of 3186
2 | 3186 |
3 | 1593 |
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 3186 are 2, 3,59. Prime factorization of 3186 in exponential form is:
3186 = 21×33×591
Prime Factorization of 3191
3191 | 3191 |
1 |
Prime factors of 3191 are 3191. Prime factorization of 3191 in exponential form is:
3191 = 31911
Now multiplying the highest exponent prime factors to calculate the LCM of 3186 and 3191.
LCM(3186,3191) = 21×33×591×31911
LCM(3186,3191) = 10166526
Factors of 3186
List of positive integer factors of 3186 that divides 3186 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
Factors of 3191
List of positive integer factors of 3191 that divides 3191 without a remainder.
1, 3191
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3186 and 3191, than apply into the LCM equation.
GCF(3186,3191) = 1
LCM(3186,3191) = ( 3186 × 3191) / 1
LCM(3186,3191) = 10166526 / 1
LCM(3186,3191) = 10166526
(i) The LCM of 3191 and 3186 is associative
LCM of 3186 and 3191 = LCM of 3191 and 3186
1. What is the LCM of 3186 and 3191?
Answer: LCM of 3186 and 3191 is 10166526.
2. What are the Factors of 3186?
Answer: Factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186. There are 16 integers that are factors of 3186. The greatest factor of 3186 is 3186.
3. What are the Factors of 3191?
Answer: Factors of 3191 are 1, 3191. There are 2 integers that are factors of 3191. The greatest factor of 3191 is 3191.
4. How to Find the LCM of 3186 and 3191?
Answer:
Least Common Multiple of 3186 and 3191 = 10166526
Step 1: Find the prime factorization of 3186
3186 = 2 x 3 x 3 x 3 x 59
Step 2: Find the prime factorization of 3191
3191 = 3191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10166526 = 2 x 3 x 3 x 3 x 59 x 3191
Step 4: Therefore, the least common multiple of 3186 and 3191 is 10166526.