Least Common Multiple of 17288 and 17296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17288 and 17296 the smallest integer that is 37376656 that is divisible by both numbers.

Least Common Multiple (LCM) of 17288 and 17296 is 37376656.

LCM(17288,17296) = 37376656

LCM of 17288 and 17296

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

LCM of:
and

Least Common Multiple of 17288 and 17296

LCM of 17288 and 17296 is 37376656

Least common multiple can be found by multiplying the highest exponent prime factors of 17288 and 17296. First we will calculate the prime factors of 17288 and 17296.

Prime Factorization of 17288


2 17288
2 8644
2 4322
2161 2161
1

Prime factors of 17288 are 2,2161. Prime factorization of 17288 in exponential form is:

17288 = 23×21611

Prime Factorization of 17296


2 17296
2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 17296 are 2, 23,47. Prime factorization of 17296 in exponential form is:

17296 = 24×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 17288 and 17296.

LCM(17288,17296) = 24×231×471×21611
LCM(17288,17296) = 37376656

Factors of 17288

List of positive integer factors of 17288 that divides 17288 without a remainder.

1, 2, 4, 8, 2161, 4322, 8644, 17288

Factors of 17296

List of positive integer factors of 17296 that divides 17296 without a remainder.

1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296

Least Common Multiple of 17288 and 17296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17288 and 17296, than apply into the LCM equation.

GCF(17288,17296) = 8
LCM(17288,17296) = ( 17288 × 17296) / 8
LCM(17288,17296) = 299013248 / 8
LCM(17288,17296) = 37376656

Properties of LCM 17288 and 17296

(i) The LCM of 17296 and 17288 is associative

LCM of 17288 and 17296 = LCM of 17296 and 17288

Related Least Common Multiples of 17288

Related Least Common Multiples of 17296

Frequently Asked Questions on LCM of 17288 and 17296

1. What is the LCM of 17288 and 17296?

Answer: LCM of 17288 and 17296 is 37376656.

2. What are the Factors of 17288?

Answer: Factors of 17288 are 1, 2, 4, 8, 2161, 4322, 8644, 17288. There are 8 integers that are factors of 17288. The greatest factor of 17288 is 17288.

3. What are the Factors of 17296?

Answer: Factors of 17296 are 1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296. There are 20 integers that are factors of 17296. The greatest factor of 17296 is 17296.

4. How to Find the LCM of 17288 and 17296?

Answer:

Least Common Multiple of 17288 and 17296 = 37376656

Step 1: Find the prime factorization of 17288

17288 = 2 x 2 x 2 x 2161

Step 2: Find the prime factorization of 17296

17296 = 2 x 2 x 2 x 2 x 23 x 47

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

LCM = 37376656 = 2 x 2 x 2 x 2 x 23 x 47 x 2161

Step 4: Therefore, the least common multiple of 17288 and 17296 is 37376656.