Least Common Multiple of 4218 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 4218 and 4223 the smallest integer that is 17812614 that is divisible by both numbers.
Least Common Multiple (LCM) of 4218 and 4223 is 17812614.
LCM(4218,4223) = 17812614
LCM of 4218 and 4223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4218 and 4223 by Prime method
- Least Common Multiple of 4218 and 4223 with GCF Formula
LCM of 4218 and 4223 is 17812614
Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4223. First we will calculate the prime factors of 4218 and 4223.
Prime Factorization of 4218
| 2 | 4218 |
| 3 | 2109 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 4218 are 2, 3, 19,37. Prime factorization of 4218 in exponential form is:
4218 = 21×31×191×371
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 4218 and 4223.
LCM(4218,4223) = 21×31×191×371×411×1031
LCM(4218,4223) = 17812614
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
Factors of 4223
List of positive integer factors of 4223 that divides 4223 without a remainder.
1, 41, 103, 4223
Least Common Multiple of 4218 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 4218 and 4223, than apply into the LCM equation.
GCF(4218,4223) = 1
LCM(4218,4223) = ( 4218 × 4223) / 1
LCM(4218,4223) = 17812614 / 1
LCM(4218,4223) = 17812614
Properties of LCM 4218 and 4223
(i) The LCM of 4223 and 4218 is associative
LCM of 4218 and 4223 = LCM of 4223 and 4218
Related Least Common Multiples of 4218
Related Least Common Multiples of 4223
Frequently Asked Questions on LCM of 4218 and 4223
1. What is the LCM of 4218 and 4223?
Answer: LCM of 4218 and 4223 is 17812614.
2. What are the Factors of 4218?
Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.
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 4218 and 4223?
Answer:
Least Common Multiple of 4218 and 4223 = 17812614
Step 1: Find the prime factorization of 4218
4218 = 2 x 3 x 19 x 37
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 = 17812614 = 2 x 3 x 19 x 37 x 41 x 103
Step 4: Therefore, the least common multiple of 4218 and 4223 is 17812614.