Least Common Multiple of 4221 and 4223
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4221 and 4223 the smallest integer that is 17825283 that is divisible by both numbers.
Least Common Multiple (LCM) of 4221 and 4223 is 17825283.
LCM(4221,4223) = 17825283
LCM of 4221 and 4223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4221 and 4223 by Prime method
- Least Common Multiple of 4221 and 4223 with GCF Formula
LCM of 4221 and 4223 is 17825283
Least common multiple can be found by multiplying the highest exponent prime factors of 4221 and 4223. First we will calculate the prime factors of 4221 and 4223.
Prime Factorization of 4221
| 3 | 4221 |
| 3 | 1407 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 4221 are 3, 7,67. Prime factorization of 4221 in exponential form is:
4221 = 32×71×671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4221 and 4223.
LCM(4221,4223) = 32×71×411×671×1031
LCM(4221,4223) = 17825283
Factors of 4221
List of positive integer factors of 4221 that divides 4221 without a remainder.
1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
Factors of 4223
List of positive integer factors of 4223 that divides 4223 without a remainder.
1, 41, 103, 4223
Least Common Multiple of 4221 and 4223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4221 and 4223, than apply into the LCM equation.
GCF(4221,4223) = 1
LCM(4221,4223) = ( 4221 × 4223) / 1
LCM(4221,4223) = 17825283 / 1
LCM(4221,4223) = 17825283
Properties of LCM 4221 and 4223
(i) The LCM of 4223 and 4221 is associative
LCM of 4221 and 4223 = LCM of 4223 and 4221
Related Least Common Multiples of 4221
Related Least Common Multiples of 4223
Frequently Asked Questions on LCM of 4221 and 4223
1. What is the LCM of 4221 and 4223?
Answer: LCM of 4221 and 4223 is 17825283.
2. What are the Factors of 4221?
Answer: Factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221. There are 12 integers that are factors of 4221. The greatest factor of 4221 is 4221.
3. 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.
4. How to Find the LCM of 4221 and 4223?
Answer:
Least Common Multiple of 4221 and 4223 = 17825283
Step 1: Find the prime factorization of 4221
4221 = 3 x 3 x 7 x 67
Step 2: Find the prime factorization of 4223
4223 = 41 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17825283 = 3 x 3 x 7 x 41 x 67 x 103
Step 4: Therefore, the least common multiple of 4221 and 4223 is 17825283.