Least Common Multiple of 2193 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 2193 and 2201 the smallest integer that is 4826793 that is divisible by both numbers.
Least Common Multiple (LCM) of 2193 and 2201 is 4826793.
LCM(2193,2201) = 4826793
LCM of 2193 and 2201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2193 and 2201 by Prime method
- Least Common Multiple of 2193 and 2201 with GCF Formula
LCM of 2193 and 2201 is 4826793
Least common multiple can be found by multiplying the highest exponent prime factors of 2193 and 2201. First we will calculate the prime factors of 2193 and 2201.
Prime Factorization of 2193
| 3 | 2193 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 2193 are 3, 17,43. Prime factorization of 2193 in exponential form is:
2193 = 31×171×431
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 2193 and 2201.
LCM(2193,2201) = 31×171×311×431×711
LCM(2193,2201) = 4826793
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1, 3, 17, 43, 51, 129, 731, 2193
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1, 31, 71, 2201
Least Common Multiple of 2193 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 2193 and 2201, than apply into the LCM equation.
GCF(2193,2201) = 1
LCM(2193,2201) = ( 2193 × 2201) / 1
LCM(2193,2201) = 4826793 / 1
LCM(2193,2201) = 4826793
Properties of LCM 2193 and 2201
(i) The LCM of 2201 and 2193 is associative
LCM of 2193 and 2201 = LCM of 2201 and 2193
Related Least Common Multiples of 2193
Related Least Common Multiples of 2201
Frequently Asked Questions on LCM of 2193 and 2201
1. What is the LCM of 2193 and 2201?
Answer: LCM of 2193 and 2201 is 4826793.
2. What are the Factors of 2193?
Answer: Factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193. There are 8 integers that are factors of 2193. The greatest factor of 2193 is 2193.
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 2193 and 2201?
Answer:
Least Common Multiple of 2193 and 2201 = 4826793
Step 1: Find the prime factorization of 2193
2193 = 3 x 17 x 43
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 = 4826793 = 3 x 17 x 31 x 43 x 71
Step 4: Therefore, the least common multiple of 2193 and 2201 is 4826793.