Least Common Multiple of 17288 and 17292

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 17292 the smallest integer that is 74736024 that is divisible by both numbers.

Least Common Multiple (LCM) of 17288 and 17292 is 74736024.

LCM(17288,17292) = 74736024

LCM of 17288 and 17292

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

LCM of:
and

Least Common Multiple of 17288 and 17292

LCM of 17288 and 17292 is 74736024

Least common multiple can be found by multiplying the highest exponent prime factors of 17288 and 17292. First we will calculate the prime factors of 17288 and 17292.

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 17292


2 17292
2 8646
3 4323
11 1441
131 131
1

Prime factors of 17292 are 2, 3, 11,131. Prime factorization of 17292 in exponential form is:

17292 = 22×31×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 17288 and 17292.

LCM(17288,17292) = 23×31×111×1311×21611
LCM(17288,17292) = 74736024

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 17292

List of positive integer factors of 17292 that divides 17292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292

Least Common Multiple of 17288 and 17292 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 17292, than apply into the LCM equation.

GCF(17288,17292) = 4
LCM(17288,17292) = ( 17288 × 17292) / 4
LCM(17288,17292) = 298944096 / 4
LCM(17288,17292) = 74736024

Properties of LCM 17288 and 17292

(i) The LCM of 17292 and 17288 is associative

LCM of 17288 and 17292 = LCM of 17292 and 17288

Related Least Common Multiples of 17288

Related Least Common Multiples of 17292

Frequently Asked Questions on LCM of 17288 and 17292

1. What is the LCM of 17288 and 17292?

Answer: LCM of 17288 and 17292 is 74736024.

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 17292?

Answer: Factors of 17292 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292. There are 24 integers that are factors of 17292. The greatest factor of 17292 is 17292.

4. How to Find the LCM of 17288 and 17292?

Answer:

Least Common Multiple of 17288 and 17292 = 74736024

Step 1: Find the prime factorization of 17288

17288 = 2 x 2 x 2 x 2161

Step 2: Find the prime factorization of 17292

17292 = 2 x 2 x 3 x 11 x 131

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

LCM = 74736024 = 2 x 2 x 2 x 3 x 11 x 131 x 2161

Step 4: Therefore, the least common multiple of 17288 and 17292 is 74736024.