Least Common Multiple of 2201 and 2205
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2201 and 2205 the smallest integer that is 4853205 that is divisible by both numbers.
Least Common Multiple (LCM) of 2201 and 2205 is 4853205.
LCM(2201,2205) = 4853205
LCM of 2201 and 2205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2201 and 2205 by Prime method
- Least Common Multiple of 2201 and 2205 with GCF Formula
LCM of 2201 and 2205 is 4853205
Least common multiple can be found by multiplying the highest exponent prime factors of 2201 and 2205. First we will calculate the prime factors of 2201 and 2205.
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
Prime Factorization of 2205
| 3 | 2205 |
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 2205 are 3, 5,7. Prime factorization of 2205 in exponential form is:
2205 = 32×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 2201 and 2205.
LCM(2201,2205) = 32×51×72×311×711
LCM(2201,2205) = 4853205
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1, 31, 71, 2201
Factors of 2205
List of positive integer factors of 2205 that divides 2205 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
Least Common Multiple of 2201 and 2205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2201 and 2205, than apply into the LCM equation.
GCF(2201,2205) = 1
LCM(2201,2205) = ( 2201 × 2205) / 1
LCM(2201,2205) = 4853205 / 1
LCM(2201,2205) = 4853205
Properties of LCM 2201 and 2205
(i) The LCM of 2205 and 2201 is associative
LCM of 2201 and 2205 = LCM of 2205 and 2201
Related Least Common Multiples of 2201
Related Least Common Multiples of 2205
Frequently Asked Questions on LCM of 2201 and 2205
1. What is the LCM of 2201 and 2205?
Answer: LCM of 2201 and 2205 is 4853205.
2. 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.
3. What are the Factors of 2205?
Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.
4. How to Find the LCM of 2201 and 2205?
Answer:
Least Common Multiple of 2201 and 2205 = 4853205
Step 1: Find the prime factorization of 2201
2201 = 31 x 71
Step 2: Find the prime factorization of 2205
2205 = 3 x 3 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4853205 = 3 x 3 x 5 x 7 x 7 x 31 x 71
Step 4: Therefore, the least common multiple of 2201 and 2205 is 4853205.