Least Common Multiple of 17223 and 17227

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

• Least Common Multiple of 17223 and 17227 by Prime method
• Least Common Multiple of 17223 and 17227 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17223 and 17227. First we will calculate the prime factors of 17223 and 17227.

Prime Factorization of 17223

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

17223 = 3¹×5741¹

Prime Factorization of 17227

Prime factors of 17227 are 7, 23,107. Prime factorization of 17227 in exponential form is:

17227 = 7¹×23¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17223 and 17227.

LCM(17223,17227) = 3¹×7¹×23¹×107¹×5741¹
LCM(17223,17227) = 296700621

Factors of 17223

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

1, 3, 5741, 17223

Factors of 17227

List of positive integer factors of 17227 that divides 17227 without a remainder.

1, 7, 23, 107, 161, 749, 2461, 17227

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17223 and 17227, than apply into the LCM equation.

GCF(17223,17227) = 1
LCM(17223,17227) = ( 17223 × 17227) / 1
LCM(17223,17227) = 296700621 / 1
LCM(17223,17227) = 296700621

(i) The LCM of 17227 and 17223 is associative

LCM of 17223 and 17227 = LCM of 17227 and 17223

1. What is the LCM of 17223 and 17227?

Answer: LCM of 17223 and 17227 is 296700621.

2. 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.

3. What are the Factors of 17227?

Answer: Factors of 17227 are 1, 7, 23, 107, 161, 749, 2461, 17227. There are 8 integers that are factors of 17227. The greatest factor of 17227 is 17227.

4. How to Find the LCM of 17223 and 17227?

Answer:

Least Common Multiple of 17223 and 17227 = 296700621

Step 1: Find the prime factorization of 17223

17223 = 3 x 5741

Step 2: Find the prime factorization of 17227

17227 = 7 x 23 x 107

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

LCM = 296700621 = 3 x 7 x 23 x 107 x 5741

Step 4: Therefore, the least common multiple of 17223 and 17227 is 296700621.