Least Common Multiple of 17224 and 17230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17224 and 17230 the smallest integer that is 148384760 that is divisible by both numbers.

Least Common Multiple (LCM) of 17224 and 17230 is 148384760.

LCM(17224,17230) = 148384760

LCM of 17224 and 17230

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

LCM of:
and

Least Common Multiple of 17224 and 17230

LCM of 17224 and 17230 is 148384760

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17230. First we will calculate the prime factors of 17224 and 17230.

Prime Factorization of 17224


2 17224
2 8612
2 4306
2153 2153
1

Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:

17224 = 23×21531

Prime Factorization of 17230


2 17230
5 8615
1723 1723
1

Prime factors of 17230 are 2, 5,1723. Prime factorization of 17230 in exponential form is:

17230 = 21×51×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17230.

LCM(17224,17230) = 23×51×17231×21531
LCM(17224,17230) = 148384760

Factors of 17224

List of positive integer factors of 17224 that divides 17224 without a remainder.

1, 2, 4, 8, 2153, 4306, 8612, 17224

Factors of 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615, 17230

Least Common Multiple of 17224 and 17230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17224 and 17230, than apply into the LCM equation.

GCF(17224,17230) = 2
LCM(17224,17230) = ( 17224 × 17230) / 2
LCM(17224,17230) = 296769520 / 2
LCM(17224,17230) = 148384760

Properties of LCM 17224 and 17230

(i) The LCM of 17230 and 17224 is associative

LCM of 17224 and 17230 = LCM of 17230 and 17224

Related Least Common Multiples of 17224

Related Least Common Multiples of 17230

Frequently Asked Questions on LCM of 17224 and 17230

1. What is the LCM of 17224 and 17230?

Answer: LCM of 17224 and 17230 is 148384760.

2. What are the Factors of 17224?

Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.

3. What are the Factors of 17230?

Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.

4. How to Find the LCM of 17224 and 17230?

Answer:

Least Common Multiple of 17224 and 17230 = 148384760

Step 1: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

Step 2: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

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

LCM = 148384760 = 2 x 2 x 2 x 5 x 1723 x 2153

Step 4: Therefore, the least common multiple of 17224 and 17230 is 148384760.