Least Common Multiple of 17232 and 17238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17232 and 17238 the smallest integer that is 49507536 that is divisible by both numbers.

Least Common Multiple (LCM) of 17232 and 17238 is 49507536.

LCM(17232,17238) = 49507536

LCM of 17232 and 17238

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

LCM of:
and

Least Common Multiple of 17232 and 17238

LCM of 17232 and 17238 is 49507536

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17238. First we will calculate the prime factors of 17232 and 17238.

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

Prime Factorization of 17238


2 17238
3 8619
13 2873
13 221
17 17
1

Prime factors of 17238 are 2, 3, 13,17. Prime factorization of 17238 in exponential form is:

17238 = 21×31×132×171

Now multiplying the highest exponent prime factors to calculate the LCM of 17232 and 17238.

LCM(17232,17238) = 24×31×132×171×3591
LCM(17232,17238) = 49507536

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

Factors of 17238

List of positive integer factors of 17238 that divides 17238 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238

Least Common Multiple of 17232 and 17238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17232 and 17238, than apply into the LCM equation.

GCF(17232,17238) = 6
LCM(17232,17238) = ( 17232 × 17238) / 6
LCM(17232,17238) = 297045216 / 6
LCM(17232,17238) = 49507536

Properties of LCM 17232 and 17238

(i) The LCM of 17238 and 17232 is associative

LCM of 17232 and 17238 = LCM of 17238 and 17232

Related Least Common Multiples of 17232

Related Least Common Multiples of 17238

Frequently Asked Questions on LCM of 17232 and 17238

1. What is the LCM of 17232 and 17238?

Answer: LCM of 17232 and 17238 is 49507536.

2. 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.

3. What are the Factors of 17238?

Answer: Factors of 17238 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238. There are 24 integers that are factors of 17238. The greatest factor of 17238 is 17238.

4. How to Find the LCM of 17232 and 17238?

Answer:

Least Common Multiple of 17232 and 17238 = 49507536

Step 1: Find the prime factorization of 17232

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

Step 2: Find the prime factorization of 17238

17238 = 2 x 3 x 13 x 13 x 17

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

LCM = 49507536 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 17 x 359

Step 4: Therefore, the least common multiple of 17232 and 17238 is 49507536.