Least Common Multiple of 2209 and 2211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2209 and 2211 the smallest integer that is 4884099 that is divisible by both numbers.
Least Common Multiple (LCM) of 2209 and 2211 is 4884099.
LCM(2209,2211) = 4884099
LCM of 2209 and 2211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2209 and 2211 by Prime method
- Least Common Multiple of 2209 and 2211 with GCF Formula
LCM of 2209 and 2211 is 4884099
Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2211. First we will calculate the prime factors of 2209 and 2211.
Prime Factorization of 2209
| 47 | 2209 |
| 47 | 47 |
| 1 |
Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:
2209 = 472
Prime Factorization of 2211
| 3 | 2211 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 2211 are 3, 11,67. Prime factorization of 2211 in exponential form is:
2211 = 31×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2211.
LCM(2209,2211) = 31×111×472×671
LCM(2209,2211) = 4884099
Factors of 2209
List of positive integer factors of 2209 that divides 2209 without a remainder.
1, 47, 2209
Factors of 2211
List of positive integer factors of 2211 that divides 2211 without a remainder.
1, 3, 11, 33, 67, 201, 737, 2211
Least Common Multiple of 2209 and 2211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2209 and 2211, than apply into the LCM equation.
GCF(2209,2211) = 1
LCM(2209,2211) = ( 2209 × 2211) / 1
LCM(2209,2211) = 4884099 / 1
LCM(2209,2211) = 4884099
Properties of LCM 2209 and 2211
(i) The LCM of 2211 and 2209 is associative
LCM of 2209 and 2211 = LCM of 2211 and 2209
Related Least Common Multiples of 2209
Related Least Common Multiples of 2211
Frequently Asked Questions on LCM of 2209 and 2211
1. What is the LCM of 2209 and 2211?
Answer: LCM of 2209 and 2211 is 4884099.
2. What are the Factors of 2209?
Answer: Factors of 2209 are 1, 47, 2209. There are 3 integers that are factors of 2209. The greatest factor of 2209 is 2209.
3. What are the Factors of 2211?
Answer: Factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211. There are 8 integers that are factors of 2211. The greatest factor of 2211 is 2211.
4. How to Find the LCM of 2209 and 2211?
Answer:
Least Common Multiple of 2209 and 2211 = 4884099
Step 1: Find the prime factorization of 2209
2209 = 47 x 47
Step 2: Find the prime factorization of 2211
2211 = 3 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4884099 = 3 x 11 x 47 x 47 x 67
Step 4: Therefore, the least common multiple of 2209 and 2211 is 4884099.
