Least Common Multiple of 2197 and 2201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2197 and 2201 the smallest integer that is 4835597 that is divisible by both numbers.
Least Common Multiple (LCM) of 2197 and 2201 is 4835597.
LCM(2197,2201) = 4835597
LCM of 2197 and 2201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2197 and 2201 by Prime method
- Least Common Multiple of 2197 and 2201 with GCF Formula
LCM of 2197 and 2201 is 4835597
Least common multiple can be found by multiplying the highest exponent prime factors of 2197 and 2201. First we will calculate the prime factors of 2197 and 2201.
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
Prime Factorization of 2201
| 31 | 2201 |
| 71 | 71 |
| 1 |
Prime factors of 2201 are 31,71. Prime factorization of 2201 in exponential form is:
2201 = 311×711
Now multiplying the highest exponent prime factors to calculate the LCM of 2197 and 2201.
LCM(2197,2201) = 133×311×711
LCM(2197,2201) = 4835597
Factors of 2197
List of positive integer factors of 2197 that divides 2197 without a remainder.
1, 13, 169, 2197
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1, 31, 71, 2201
Least Common Multiple of 2197 and 2201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2197 and 2201, than apply into the LCM equation.
GCF(2197,2201) = 1
LCM(2197,2201) = ( 2197 × 2201) / 1
LCM(2197,2201) = 4835597 / 1
LCM(2197,2201) = 4835597
Properties of LCM 2197 and 2201
(i) The LCM of 2201 and 2197 is associative
LCM of 2197 and 2201 = LCM of 2201 and 2197
Related Least Common Multiples of 2197
Related Least Common Multiples of 2201
Frequently Asked Questions on LCM of 2197 and 2201
1. What is the LCM of 2197 and 2201?
Answer: LCM of 2197 and 2201 is 4835597.
2. 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.
3. What are the Factors of 2201?
Answer: Factors of 2201 are 1, 31, 71, 2201. There are 4 integers that are factors of 2201. The greatest factor of 2201 is 2201.
4. How to Find the LCM of 2197 and 2201?
Answer:
Least Common Multiple of 2197 and 2201 = 4835597
Step 1: Find the prime factorization of 2197
2197 = 13 x 13 x 13
Step 2: Find the prime factorization of 2201
2201 = 31 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4835597 = 13 x 13 x 13 x 31 x 71
Step 4: Therefore, the least common multiple of 2197 and 2201 is 4835597.