Least Common Multiple of 17224 and 17231

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 17231 the smallest integer that is 296786744 that is divisible by both numbers.

Least Common Multiple (LCM) of 17224 and 17231 is 296786744.

LCM(17224,17231) = 296786744

LCM of 17224 and 17231

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

LCM of:
and

Least Common Multiple of 17224 and 17231

LCM of 17224 and 17231 is 296786744

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17231. First we will calculate the prime factors of 17224 and 17231.

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 17231


17231 17231
1

Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:

17231 = 172311

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17231.

LCM(17224,17231) = 23×21531×172311
LCM(17224,17231) = 296786744

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 17231

List of positive integer factors of 17231 that divides 17231 without a remainder.

1, 17231

Least Common Multiple of 17224 and 17231 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 17231, than apply into the LCM equation.

GCF(17224,17231) = 1
LCM(17224,17231) = ( 17224 × 17231) / 1
LCM(17224,17231) = 296786744 / 1
LCM(17224,17231) = 296786744

Properties of LCM 17224 and 17231

(i) The LCM of 17231 and 17224 is associative

LCM of 17224 and 17231 = LCM of 17231 and 17224

Related Least Common Multiples of 17224

Related Least Common Multiples of 17231

Frequently Asked Questions on LCM of 17224 and 17231

1. What is the LCM of 17224 and 17231?

Answer: LCM of 17224 and 17231 is 296786744.

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 17231?

Answer: Factors of 17231 are 1, 17231. There are 2 integers that are factors of 17231. The greatest factor of 17231 is 17231.

4. How to Find the LCM of 17224 and 17231?

Answer:

Least Common Multiple of 17224 and 17231 = 296786744

Step 1: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

Step 2: Find the prime factorization of 17231

17231 = 17231

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

LCM = 296786744 = 2 x 2 x 2 x 2153 x 17231

Step 4: Therefore, the least common multiple of 17224 and 17231 is 296786744.