Least Common Multiple of 17224 and 17232

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 17232 the smallest integer that is 37100496 that is divisible by both numbers.

Least Common Multiple (LCM) of 17224 and 17232 is 37100496.

LCM(17224,17232) = 37100496

LCM of 17224 and 17232

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

LCM of:
and

Least Common Multiple of 17224 and 17232

LCM of 17224 and 17232 is 37100496

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17232. First we will calculate the prime factors of 17224 and 17232.

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 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2, 3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17232.

LCM(17224,17232) = 24×31×3591×21531
LCM(17224,17232) = 37100496

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 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232

Least Common Multiple of 17224 and 17232 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 17232, than apply into the LCM equation.

GCF(17224,17232) = 8
LCM(17224,17232) = ( 17224 × 17232) / 8
LCM(17224,17232) = 296803968 / 8
LCM(17224,17232) = 37100496

Properties of LCM 17224 and 17232

(i) The LCM of 17232 and 17224 is associative

LCM of 17224 and 17232 = LCM of 17232 and 17224

Related Least Common Multiples of 17224

Related Least Common Multiples of 17232

Frequently Asked Questions on LCM of 17224 and 17232

1. What is the LCM of 17224 and 17232?

Answer: LCM of 17224 and 17232 is 37100496.

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 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

4. How to Find the LCM of 17224 and 17232?

Answer:

Least Common Multiple of 17224 and 17232 = 37100496

Step 1: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

Step 2: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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

LCM = 37100496 = 2 x 2 x 2 x 2 x 3 x 359 x 2153

Step 4: Therefore, the least common multiple of 17224 and 17232 is 37100496.