Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2191 and 2194 the smallest integer that is 4807054 that is divisible by both numbers.
Least Common Multiple (LCM) of 2191 and 2194 is 4807054.
LCM(2191,2194) = 4807054
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 2191 and 2194. First we will calculate the prime factors of 2191 and 2194.
Prime Factorization of 2191
7 | 2191 |
313 | 313 |
1 |
Prime factors of 2191 are 7,313. Prime factorization of 2191 in exponential form is:
2191 = 71×3131
Prime Factorization of 2194
2 | 2194 |
1097 | 1097 |
1 |
Prime factors of 2194 are 2,1097. Prime factorization of 2194 in exponential form is:
2194 = 21×10971
Now multiplying the highest exponent prime factors to calculate the LCM of 2191 and 2194.
LCM(2191,2194) = 21×71×3131×10971
LCM(2191,2194) = 4807054
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1, 7, 313, 2191
Factors of 2194
List of positive integer factors of 2194 that divides 2194 without a remainder.
1, 2, 1097, 2194
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2191 and 2194, than apply into the LCM equation.
GCF(2191,2194) = 1
LCM(2191,2194) = ( 2191 × 2194) / 1
LCM(2191,2194) = 4807054 / 1
LCM(2191,2194) = 4807054
(i) The LCM of 2194 and 2191 is associative
LCM of 2191 and 2194 = LCM of 2194 and 2191
1. What is the LCM of 2191 and 2194?
Answer: LCM of 2191 and 2194 is 4807054.
2. What are the Factors of 2191?
Answer: Factors of 2191 are 1, 7, 313, 2191. There are 4 integers that are factors of 2191. The greatest factor of 2191 is 2191.
3. What are the Factors of 2194?
Answer: Factors of 2194 are 1, 2, 1097, 2194. There are 4 integers that are factors of 2194. The greatest factor of 2194 is 2194.
4. How to Find the LCM of 2191 and 2194?
Answer:
Least Common Multiple of 2191 and 2194 = 4807054
Step 1: Find the prime factorization of 2191
2191 = 7 x 313
Step 2: Find the prime factorization of 2194
2194 = 2 x 1097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4807054 = 2 x 7 x 313 x 1097
Step 4: Therefore, the least common multiple of 2191 and 2194 is 4807054.