Least Common Multiple of 2201 and 2206
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 2206 the smallest integer that is 4855406 that is divisible by both numbers.
Least Common Multiple (LCM) of 2201 and 2206 is 4855406.
LCM(2201,2206) = 4855406
LCM of 2201 and 2206
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2201 and 2206 by Prime method
- Least Common Multiple of 2201 and 2206 with GCF Formula
LCM of 2201 and 2206 is 4855406
Least common multiple can be found by multiplying the highest exponent prime factors of 2201 and 2206. First we will calculate the prime factors of 2201 and 2206.
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 2206
| 2 | 2206 |
| 1103 | 1103 |
| 1 |
Prime factors of 2206 are 2,1103. Prime factorization of 2206 in exponential form is:
2206 = 21×11031
Now multiplying the highest exponent prime factors to calculate the LCM of 2201 and 2206.
LCM(2201,2206) = 21×311×711×11031
LCM(2201,2206) = 4855406
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1, 31, 71, 2201
Factors of 2206
List of positive integer factors of 2206 that divides 2206 without a remainder.
1, 2, 1103, 2206
Least Common Multiple of 2201 and 2206 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 2206, than apply into the LCM equation.
GCF(2201,2206) = 1
LCM(2201,2206) = ( 2201 × 2206) / 1
LCM(2201,2206) = 4855406 / 1
LCM(2201,2206) = 4855406
Properties of LCM 2201 and 2206
(i) The LCM of 2206 and 2201 is associative
LCM of 2201 and 2206 = LCM of 2206 and 2201
Related Least Common Multiples of 2201
Related Least Common Multiples of 2206
Frequently Asked Questions on LCM of 2201 and 2206
1. What is the LCM of 2201 and 2206?
Answer: LCM of 2201 and 2206 is 4855406.
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 2206?
Answer: Factors of 2206 are 1, 2, 1103, 2206. There are 4 integers that are factors of 2206. The greatest factor of 2206 is 2206.
4. How to Find the LCM of 2201 and 2206?
Answer:
Least Common Multiple of 2201 and 2206 = 4855406
Step 1: Find the prime factorization of 2201
2201 = 31 x 71
Step 2: Find the prime factorization of 2206
2206 = 2 x 1103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4855406 = 2 x 31 x 71 x 1103
Step 4: Therefore, the least common multiple of 2201 and 2206 is 4855406.