Least Common Multiple of 4223 and 4227
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4223 and 4227 the smallest integer that is 17850621 that is divisible by both numbers.
Least Common Multiple (LCM) of 4223 and 4227 is 17850621.
LCM(4223,4227) = 17850621
LCM of 4223 and 4227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4223 and 4227 by Prime method
- Least Common Multiple of 4223 and 4227 with GCF Formula
LCM of 4223 and 4227 is 17850621
Least common multiple can be found by multiplying the highest exponent prime factors of 4223 and 4227. First we will calculate the prime factors of 4223 and 4227.
Prime Factorization of 4223
| 41 | 4223 |
| 103 | 103 |
| 1 |
Prime factors of 4223 are 41,103. Prime factorization of 4223 in exponential form is:
4223 = 411×1031
Prime Factorization of 4227
| 3 | 4227 |
| 1409 | 1409 |
| 1 |
Prime factors of 4227 are 3,1409. Prime factorization of 4227 in exponential form is:
4227 = 31×14091
Now multiplying the highest exponent prime factors to calculate the LCM of 4223 and 4227.
LCM(4223,4227) = 31×411×1031×14091
LCM(4223,4227) = 17850621
Factors of 4223
List of positive integer factors of 4223 that divides 4223 without a remainder.
1, 41, 103, 4223
Factors of 4227
List of positive integer factors of 4227 that divides 4227 without a remainder.
1, 3, 1409, 4227
Least Common Multiple of 4223 and 4227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4223 and 4227, than apply into the LCM equation.
GCF(4223,4227) = 1
LCM(4223,4227) = ( 4223 × 4227) / 1
LCM(4223,4227) = 17850621 / 1
LCM(4223,4227) = 17850621
Properties of LCM 4223 and 4227
(i) The LCM of 4227 and 4223 is associative
LCM of 4223 and 4227 = LCM of 4227 and 4223
Related Least Common Multiples of 4223
Related Least Common Multiples of 4227
Frequently Asked Questions on LCM of 4223 and 4227
1. What is the LCM of 4223 and 4227?
Answer: LCM of 4223 and 4227 is 17850621.
2. What are the Factors of 4223?
Answer: Factors of 4223 are 1, 41, 103, 4223. There are 4 integers that are factors of 4223. The greatest factor of 4223 is 4223.
3. What are the Factors of 4227?
Answer: Factors of 4227 are 1, 3, 1409, 4227. There are 4 integers that are factors of 4227. The greatest factor of 4227 is 4227.
4. How to Find the LCM of 4223 and 4227?
Answer:
Least Common Multiple of 4223 and 4227 = 17850621
Step 1: Find the prime factorization of 4223
4223 = 41 x 103
Step 2: Find the prime factorization of 4227
4227 = 3 x 1409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17850621 = 3 x 41 x 103 x 1409
Step 4: Therefore, the least common multiple of 4223 and 4227 is 17850621.