Least Common Multiple of 17218 and 17223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17218 and 17223 the smallest integer that is 296545614 that is divisible by both numbers.

Least Common Multiple (LCM) of 17218 and 17223 is 296545614.

LCM(17218,17223) = 296545614

LCM of 17218 and 17223

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 17218 and 17223

LCM of 17218 and 17223 is 296545614

Least common multiple can be found by multiplying the highest exponent prime factors of 17218 and 17223. First we will calculate the prime factors of 17218 and 17223.

Prime Factorization of 17218


2 17218
8609 8609
1

Prime factors of 17218 are 2,8609. Prime factorization of 17218 in exponential form is:

17218 = 21×86091

Prime Factorization of 17223


3 17223
5741 5741
1

Prime factors of 17223 are 3,5741. Prime factorization of 17223 in exponential form is:

17223 = 31×57411

Now multiplying the highest exponent prime factors to calculate the LCM of 17218 and 17223.

LCM(17218,17223) = 21×31×57411×86091
LCM(17218,17223) = 296545614

Factors of 17218

List of positive integer factors of 17218 that divides 17218 without a remainder.

1, 2, 8609, 17218

Factors of 17223

List of positive integer factors of 17223 that divides 17223 without a remainder.

1, 3, 5741, 17223

Least Common Multiple of 17218 and 17223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17218 and 17223, than apply into the LCM equation.

GCF(17218,17223) = 1
LCM(17218,17223) = ( 17218 × 17223) / 1
LCM(17218,17223) = 296545614 / 1
LCM(17218,17223) = 296545614

Properties of LCM 17218 and 17223

(i) The LCM of 17223 and 17218 is associative

LCM of 17218 and 17223 = LCM of 17223 and 17218

Related Least Common Multiples of 17218

Related Least Common Multiples of 17223

Frequently Asked Questions on LCM of 17218 and 17223

1. What is the LCM of 17218 and 17223?

Answer: LCM of 17218 and 17223 is 296545614.

2. What are the Factors of 17218?

Answer: Factors of 17218 are 1, 2, 8609, 17218. There are 4 integers that are factors of 17218. The greatest factor of 17218 is 17218.

3. What are the Factors of 17223?

Answer: Factors of 17223 are 1, 3, 5741, 17223. There are 4 integers that are factors of 17223. The greatest factor of 17223 is 17223.

4. How to Find the LCM of 17218 and 17223?

Answer:

Least Common Multiple of 17218 and 17223 = 296545614

Step 1: Find the prime factorization of 17218

17218 = 2 x 8609

Step 2: Find the prime factorization of 17223

17223 = 3 x 5741

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 296545614 = 2 x 3 x 5741 x 8609

Step 4: Therefore, the least common multiple of 17218 and 17223 is 296545614.