Least Common Multiple of 7223 and 7227
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7223 and 7227 the smallest integer that is 52200621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7223 and 7227 is 52200621.
LCM(7223,7227) = 52200621
LCM of 7223 and 7227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7223 and 7227 by Prime method
- Least Common Multiple of 7223 and 7227 with GCF Formula
LCM of 7223 and 7227 is 52200621
Least common multiple can be found by multiplying the highest exponent prime factors of 7223 and 7227. First we will calculate the prime factors of 7223 and 7227.
Prime Factorization of 7223
| 31 | 7223 |
| 233 | 233 |
| 1 |
Prime factors of 7223 are 31,233. Prime factorization of 7223 in exponential form is:
7223 = 311×2331
Prime Factorization of 7227
| 3 | 7227 |
| 3 | 2409 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 7227 are 3, 11,73. Prime factorization of 7227 in exponential form is:
7227 = 32×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 7223 and 7227.
LCM(7223,7227) = 32×111×311×731×2331
LCM(7223,7227) = 52200621
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1, 31, 233, 7223
Factors of 7227
List of positive integer factors of 7227 that divides 7227 without a remainder.
1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
Least Common Multiple of 7223 and 7227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7223 and 7227, than apply into the LCM equation.
GCF(7223,7227) = 1
LCM(7223,7227) = ( 7223 × 7227) / 1
LCM(7223,7227) = 52200621 / 1
LCM(7223,7227) = 52200621
Properties of LCM 7223 and 7227
(i) The LCM of 7227 and 7223 is associative
LCM of 7223 and 7227 = LCM of 7227 and 7223
Related Least Common Multiples of 7223
Related Least Common Multiples of 7227
Frequently Asked Questions on LCM of 7223 and 7227
1. What is the LCM of 7223 and 7227?
Answer: LCM of 7223 and 7227 is 52200621.
2. What are the Factors of 7223?
Answer: Factors of 7223 are 1, 31, 233, 7223. There are 4 integers that are factors of 7223. The greatest factor of 7223 is 7223.
3. What are the Factors of 7227?
Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.
4. How to Find the LCM of 7223 and 7227?
Answer:
Least Common Multiple of 7223 and 7227 = 52200621
Step 1: Find the prime factorization of 7223
7223 = 31 x 233
Step 2: Find the prime factorization of 7227
7227 = 3 x 3 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52200621 = 3 x 3 x 11 x 31 x 73 x 233
Step 4: Therefore, the least common multiple of 7223 and 7227 is 52200621.