Least Common Multiple of 17223 and 17228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17223 and 17228 the smallest integer that is 296717844 that is divisible by both numbers.

Least Common Multiple (LCM) of 17223 and 17228 is 296717844.

LCM(17223,17228) = 296717844

LCM of 17223 and 17228

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

LCM of:
and

Least Common Multiple of 17223 and 17228

LCM of 17223 and 17228 is 296717844

Least common multiple can be found by multiplying the highest exponent prime factors of 17223 and 17228. First we will calculate the prime factors of 17223 and 17228.

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

Prime Factorization of 17228


2 17228
2 8614
59 4307
73 73
1

Prime factors of 17228 are 2, 59,73. Prime factorization of 17228 in exponential form is:

17228 = 22×591×731

Now multiplying the highest exponent prime factors to calculate the LCM of 17223 and 17228.

LCM(17223,17228) = 22×31×591×731×57411
LCM(17223,17228) = 296717844

Factors of 17223

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

1, 3, 5741, 17223

Factors of 17228

List of positive integer factors of 17228 that divides 17228 without a remainder.

1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228

Least Common Multiple of 17223 and 17228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17223 and 17228, than apply into the LCM equation.

GCF(17223,17228) = 1
LCM(17223,17228) = ( 17223 × 17228) / 1
LCM(17223,17228) = 296717844 / 1
LCM(17223,17228) = 296717844

Properties of LCM 17223 and 17228

(i) The LCM of 17228 and 17223 is associative

LCM of 17223 and 17228 = LCM of 17228 and 17223

Related Least Common Multiples of 17223

Related Least Common Multiples of 17228

Frequently Asked Questions on LCM of 17223 and 17228

1. What is the LCM of 17223 and 17228?

Answer: LCM of 17223 and 17228 is 296717844.

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 17228?

Answer: Factors of 17228 are 1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228. There are 12 integers that are factors of 17228. The greatest factor of 17228 is 17228.

4. How to Find the LCM of 17223 and 17228?

Answer:

Least Common Multiple of 17223 and 17228 = 296717844

Step 1: Find the prime factorization of 17223

17223 = 3 x 5741

Step 2: Find the prime factorization of 17228

17228 = 2 x 2 x 59 x 73

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

LCM = 296717844 = 2 x 2 x 3 x 59 x 73 x 5741

Step 4: Therefore, the least common multiple of 17223 and 17228 is 296717844.