Least Common Multiple of 2223 and 2227
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2223 and 2227 the smallest integer that is 4950621 that is divisible by both numbers.
Least Common Multiple (LCM) of 2223 and 2227 is 4950621.
LCM(2223,2227) = 4950621
LCM of 2223 and 2227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2223 and 2227 by Prime method
- Least Common Multiple of 2223 and 2227 with GCF Formula
LCM of 2223 and 2227 is 4950621
Least common multiple can be found by multiplying the highest exponent prime factors of 2223 and 2227. First we will calculate the prime factors of 2223 and 2227.
Prime Factorization of 2223
| 3 | 2223 |
| 3 | 741 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 2223 are 3, 13,19. Prime factorization of 2223 in exponential form is:
2223 = 32×131×191
Prime Factorization of 2227
| 17 | 2227 |
| 131 | 131 |
| 1 |
Prime factors of 2227 are 17,131. Prime factorization of 2227 in exponential form is:
2227 = 171×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 2223 and 2227.
LCM(2223,2227) = 32×131×171×191×1311
LCM(2223,2227) = 4950621
Factors of 2223
List of positive integer factors of 2223 that divides 2223 without a remainder.
1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223
Factors of 2227
List of positive integer factors of 2227 that divides 2227 without a remainder.
1, 17, 131, 2227
Least Common Multiple of 2223 and 2227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2223 and 2227, than apply into the LCM equation.
GCF(2223,2227) = 1
LCM(2223,2227) = ( 2223 × 2227) / 1
LCM(2223,2227) = 4950621 / 1
LCM(2223,2227) = 4950621
Properties of LCM 2223 and 2227
(i) The LCM of 2227 and 2223 is associative
LCM of 2223 and 2227 = LCM of 2227 and 2223
Related Least Common Multiples of 2223
Related Least Common Multiples of 2227
Frequently Asked Questions on LCM of 2223 and 2227
1. What is the LCM of 2223 and 2227?
Answer: LCM of 2223 and 2227 is 4950621.
2. What are the Factors of 2223?
Answer: Factors of 2223 are 1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 741, 2223. There are 12 integers that are factors of 2223. The greatest factor of 2223 is 2223.
3. What are the Factors of 2227?
Answer: Factors of 2227 are 1, 17, 131, 2227. There are 4 integers that are factors of 2227. The greatest factor of 2227 is 2227.
4. How to Find the LCM of 2223 and 2227?
Answer:
Least Common Multiple of 2223 and 2227 = 4950621
Step 1: Find the prime factorization of 2223
2223 = 3 x 3 x 13 x 19
Step 2: Find the prime factorization of 2227
2227 = 17 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4950621 = 3 x 3 x 13 x 17 x 19 x 131
Step 4: Therefore, the least common multiple of 2223 and 2227 is 4950621.