Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4186 and 4191 the smallest integer that is 17543526 that is divisible by both numbers.
Least Common Multiple (LCM) of 4186 and 4191 is 17543526.
LCM(4186,4191) = 17543526
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 4186 and 4191. First we will calculate the prime factors of 4186 and 4191.
Prime Factorization of 4186
2 | 4186 |
7 | 2093 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 4186 are 2, 7, 13,23. Prime factorization of 4186 in exponential form is:
4186 = 21×71×131×231
Prime Factorization of 4191
3 | 4191 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 4191 are 3, 11,127. Prime factorization of 4191 in exponential form is:
4191 = 31×111×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 4186 and 4191.
LCM(4186,4191) = 21×31×71×111×131×231×1271
LCM(4186,4191) = 17543526
Factors of 4186
List of positive integer factors of 4186 that divides 4186 without a remainder.
1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
Factors of 4191
List of positive integer factors of 4191 that divides 4191 without a remainder.
1, 3, 11, 33, 127, 381, 1397, 4191
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4186 and 4191, than apply into the LCM equation.
GCF(4186,4191) = 1
LCM(4186,4191) = ( 4186 × 4191) / 1
LCM(4186,4191) = 17543526 / 1
LCM(4186,4191) = 17543526
(i) The LCM of 4191 and 4186 is associative
LCM of 4186 and 4191 = LCM of 4191 and 4186
1. What is the LCM of 4186 and 4191?
Answer: LCM of 4186 and 4191 is 17543526.
2. What are the Factors of 4186?
Answer: Factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186. There are 16 integers that are factors of 4186. The greatest factor of 4186 is 4186.
3. What are the Factors of 4191?
Answer: Factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191. There are 8 integers that are factors of 4191. The greatest factor of 4191 is 4191.
4. How to Find the LCM of 4186 and 4191?
Answer:
Least Common Multiple of 4186 and 4191 = 17543526
Step 1: Find the prime factorization of 4186
4186 = 2 x 7 x 13 x 23
Step 2: Find the prime factorization of 4191
4191 = 3 x 11 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17543526 = 2 x 3 x 7 x 11 x 13 x 23 x 127
Step 4: Therefore, the least common multiple of 4186 and 4191 is 17543526.