Least Common Multiple of 2191 and 2197
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 2197 the smallest integer that is 4813627 that is divisible by both numbers.
Least Common Multiple (LCM) of 2191 and 2197 is 4813627.
LCM(2191,2197) = 4813627
LCM of 2191 and 2197
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2191 and 2197 by Prime method
- Least Common Multiple of 2191 and 2197 with GCF Formula
LCM of 2191 and 2197 is 4813627
Least common multiple can be found by multiplying the highest exponent prime factors of 2191 and 2197. First we will calculate the prime factors of 2191 and 2197.
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 2197
| 13 | 2197 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2197 are 13. Prime factorization of 2197 in exponential form is:
2197 = 133
Now multiplying the highest exponent prime factors to calculate the LCM of 2191 and 2197.
LCM(2191,2197) = 71×133×3131
LCM(2191,2197) = 4813627
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1, 7, 313, 2191
Factors of 2197
List of positive integer factors of 2197 that divides 2197 without a remainder.
1, 13, 169, 2197
Least Common Multiple of 2191 and 2197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2191 and 2197, than apply into the LCM equation.
GCF(2191,2197) = 1
LCM(2191,2197) = ( 2191 × 2197) / 1
LCM(2191,2197) = 4813627 / 1
LCM(2191,2197) = 4813627
Properties of LCM 2191 and 2197
(i) The LCM of 2197 and 2191 is associative
LCM of 2191 and 2197 = LCM of 2197 and 2191
Related Least Common Multiples of 2191
Related Least Common Multiples of 2197
Frequently Asked Questions on LCM of 2191 and 2197
1. What is the LCM of 2191 and 2197?
Answer: LCM of 2191 and 2197 is 4813627.
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 2197?
Answer: Factors of 2197 are 1, 13, 169, 2197. There are 4 integers that are factors of 2197. The greatest factor of 2197 is 2197.
4. How to Find the LCM of 2191 and 2197?
Answer:
Least Common Multiple of 2191 and 2197 = 4813627
Step 1: Find the prime factorization of 2191
2191 = 7 x 313
Step 2: Find the prime factorization of 2197
2197 = 13 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4813627 = 7 x 13 x 13 x 13 x 313
Step 4: Therefore, the least common multiple of 2191 and 2197 is 4813627.