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 2199 the smallest integer that is 4818009 that is divisible by both numbers.
Least Common Multiple (LCM) of 2191 and 2199 is 4818009.
LCM(2191,2199) = 4818009
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 2199. First we will calculate the prime factors of 2191 and 2199.
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 2199
3 | 2199 |
733 | 733 |
1 |
Prime factors of 2199 are 3,733. Prime factorization of 2199 in exponential form is:
2199 = 31×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 2191 and 2199.
LCM(2191,2199) = 31×71×3131×7331
LCM(2191,2199) = 4818009
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1, 7, 313, 2191
Factors of 2199
List of positive integer factors of 2199 that divides 2199 without a remainder.
1, 3, 733, 2199
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2191 and 2199, than apply into the LCM equation.
GCF(2191,2199) = 1
LCM(2191,2199) = ( 2191 × 2199) / 1
LCM(2191,2199) = 4818009 / 1
LCM(2191,2199) = 4818009
(i) The LCM of 2199 and 2191 is associative
LCM of 2191 and 2199 = LCM of 2199 and 2191
1. What is the LCM of 2191 and 2199?
Answer: LCM of 2191 and 2199 is 4818009.
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 2199?
Answer: Factors of 2199 are 1, 3, 733, 2199. There are 4 integers that are factors of 2199. The greatest factor of 2199 is 2199.
4. How to Find the LCM of 2191 and 2199?
Answer:
Least Common Multiple of 2191 and 2199 = 4818009
Step 1: Find the prime factorization of 2191
2191 = 7 x 313
Step 2: Find the prime factorization of 2199
2199 = 3 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4818009 = 3 x 7 x 313 x 733
Step 4: Therefore, the least common multiple of 2191 and 2199 is 4818009.