Least Common Multiple of 2195 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 2195 and 2201 the smallest integer that is 4831195 that is divisible by both numbers.
Least Common Multiple (LCM) of 2195 and 2201 is 4831195.
LCM(2195,2201) = 4831195
LCM of 2195 and 2201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2195 and 2201 by Prime method
- Least Common Multiple of 2195 and 2201 with GCF Formula
LCM of 2195 and 2201 is 4831195
Least common multiple can be found by multiplying the highest exponent prime factors of 2195 and 2201. First we will calculate the prime factors of 2195 and 2201.
Prime Factorization of 2195
| 5 | 2195 |
| 439 | 439 |
| 1 |
Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:
2195 = 51×4391
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 2195 and 2201.
LCM(2195,2201) = 51×311×711×4391
LCM(2195,2201) = 4831195
Factors of 2195
List of positive integer factors of 2195 that divides 2195 without a remainder.
1, 5, 439, 2195
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1, 31, 71, 2201
Least Common Multiple of 2195 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 2195 and 2201, than apply into the LCM equation.
GCF(2195,2201) = 1
LCM(2195,2201) = ( 2195 × 2201) / 1
LCM(2195,2201) = 4831195 / 1
LCM(2195,2201) = 4831195
Properties of LCM 2195 and 2201
(i) The LCM of 2201 and 2195 is associative
LCM of 2195 and 2201 = LCM of 2201 and 2195
Related Least Common Multiples of 2195
Related Least Common Multiples of 2201
Frequently Asked Questions on LCM of 2195 and 2201
1. What is the LCM of 2195 and 2201?
Answer: LCM of 2195 and 2201 is 4831195.
2. What are the Factors of 2195?
Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.
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 2195 and 2201?
Answer:
Least Common Multiple of 2195 and 2201 = 4831195
Step 1: Find the prime factorization of 2195
2195 = 5 x 439
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 = 4831195 = 5 x 31 x 71 x 439
Step 4: Therefore, the least common multiple of 2195 and 2201 is 4831195.
