Least Common Multiple of 17224 and 17229

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 17229 the smallest integer that is 296752296 that is divisible by both numbers.

Least Common Multiple (LCM) of 17224 and 17229 is 296752296.

LCM(17224,17229) = 296752296

LCM of 17224 and 17229

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

LCM of:
and

Least Common Multiple of 17224 and 17229

LCM of 17224 and 17229 is 296752296

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17229. First we will calculate the prime factors of 17224 and 17229.

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 17229


3 17229
5743 5743
1

Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:

17229 = 31×57431

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17229.

LCM(17224,17229) = 23×31×21531×57431
LCM(17224,17229) = 296752296

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 17229

List of positive integer factors of 17229 that divides 17229 without a remainder.

1, 3, 5743, 17229

Least Common Multiple of 17224 and 17229 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 17229, than apply into the LCM equation.

GCF(17224,17229) = 1
LCM(17224,17229) = ( 17224 × 17229) / 1
LCM(17224,17229) = 296752296 / 1
LCM(17224,17229) = 296752296

Properties of LCM 17224 and 17229

(i) The LCM of 17229 and 17224 is associative

LCM of 17224 and 17229 = LCM of 17229 and 17224

Related Least Common Multiples of 17224

Related Least Common Multiples of 17229

Frequently Asked Questions on LCM of 17224 and 17229

1. What is the LCM of 17224 and 17229?

Answer: LCM of 17224 and 17229 is 296752296.

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 17229?

Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.

4. How to Find the LCM of 17224 and 17229?

Answer:

Least Common Multiple of 17224 and 17229 = 296752296

Step 1: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

Step 2: Find the prime factorization of 17229

17229 = 3 x 5743

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

LCM = 296752296 = 2 x 2 x 2 x 3 x 2153 x 5743

Step 4: Therefore, the least common multiple of 17224 and 17229 is 296752296.