Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 223 and 227 the smallest integer that is 50621 that is divisible by both numbers.
Least Common Multiple (LCM) of 223 and 227 is 50621.
LCM(223,227) = 50621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 223 and 227. First we will calculate the prime factors of 223 and 227.
Prime Factorization of 223
223 | 223 |
1 |
Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:
223 = 2231
Prime Factorization of 227
227 | 227 |
1 |
Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:
227 = 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 223 and 227.
LCM(223,227) = 2231×2271
LCM(223,227) = 50621
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1, 223
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1, 227
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 223 and 227, than apply into the LCM equation.
GCF(223,227) = 1
LCM(223,227) = ( 223 × 227) / 1
LCM(223,227) = 50621 / 1
LCM(223,227) = 50621
(i) The LCM of 227 and 223 is associative
LCM of 223 and 227 = LCM of 227 and 223
1. What is the LCM of 223 and 227?
Answer: LCM of 223 and 227 is 50621.
2. What are the Factors of 223?
Answer: Factors of 223 are 1, 223. There are 2 integers that are factors of 223. The greatest factor of 223 is 223.
3. What are the Factors of 227?
Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.
4. How to Find the LCM of 223 and 227?
Answer:
Least Common Multiple of 223 and 227 = 50621
Step 1: Find the prime factorization of 223
223 = 223
Step 2: Find the prime factorization of 227
227 = 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50621 = 223 x 227
Step 4: Therefore, the least common multiple of 223 and 227 is 50621.