Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2187 and 2191 the smallest integer that is 4791717 that is divisible by both numbers.
Least Common Multiple (LCM) of 2187 and 2191 is 4791717.
LCM(2187,2191) = 4791717
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 2187 and 2191. First we will calculate the prime factors of 2187 and 2191.
Prime Factorization of 2187
3 | 2187 |
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:
2187 = 37
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2187 and 2191.
LCM(2187,2191) = 37×71×3131
LCM(2187,2191) = 4791717
Factors of 2187
List of positive integer factors of 2187 that divides 2187 without a remainder.
1, 3, 9, 27, 81, 243, 729, 2187
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1, 7, 313, 2191
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2187 and 2191, than apply into the LCM equation.
GCF(2187,2191) = 1
LCM(2187,2191) = ( 2187 × 2191) / 1
LCM(2187,2191) = 4791717 / 1
LCM(2187,2191) = 4791717
(i) The LCM of 2191 and 2187 is associative
LCM of 2187 and 2191 = LCM of 2191 and 2187
1. What is the LCM of 2187 and 2191?
Answer: LCM of 2187 and 2191 is 4791717.
2. What are the Factors of 2187?
Answer: Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. There are 8 integers that are factors of 2187. The greatest factor of 2187 is 2187.
3. 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.
4. How to Find the LCM of 2187 and 2191?
Answer:
Least Common Multiple of 2187 and 2191 = 4791717
Step 1: Find the prime factorization of 2187
2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 2191
2191 = 7 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4791717 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 313
Step 4: Therefore, the least common multiple of 2187 and 2191 is 4791717.