Least Common Multiple of 17283 and 17288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17283 and 17288 the smallest integer that is 298788504 that is divisible by both numbers.

Least Common Multiple (LCM) of 17283 and 17288 is 298788504.

LCM(17283,17288) = 298788504

LCM of 17283 and 17288

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

LCM of:
and

Least Common Multiple of 17283 and 17288

LCM of 17283 and 17288 is 298788504

Least common multiple can be found by multiplying the highest exponent prime factors of 17283 and 17288. First we will calculate the prime factors of 17283 and 17288.

Prime Factorization of 17283


3 17283
7 5761
823 823
1

Prime factors of 17283 are 3, 7,823. Prime factorization of 17283 in exponential form is:

17283 = 31×71×8231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17283 and 17288.

LCM(17283,17288) = 23×31×71×8231×21611
LCM(17283,17288) = 298788504

Factors of 17283

List of positive integer factors of 17283 that divides 17283 without a remainder.

1, 3, 7, 21, 823, 2469, 5761, 17283

Factors of 17288

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

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

Least Common Multiple of 17283 and 17288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17283 and 17288, than apply into the LCM equation.

GCF(17283,17288) = 1
LCM(17283,17288) = ( 17283 × 17288) / 1
LCM(17283,17288) = 298788504 / 1
LCM(17283,17288) = 298788504

Properties of LCM 17283 and 17288

(i) The LCM of 17288 and 17283 is associative

LCM of 17283 and 17288 = LCM of 17288 and 17283

Related Least Common Multiples of 17283

Related Least Common Multiples of 17288

Frequently Asked Questions on LCM of 17283 and 17288

1. What is the LCM of 17283 and 17288?

Answer: LCM of 17283 and 17288 is 298788504.

2. What are the Factors of 17283?

Answer: Factors of 17283 are 1, 3, 7, 21, 823, 2469, 5761, 17283. There are 8 integers that are factors of 17283. The greatest factor of 17283 is 17283.

3. 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.

4. How to Find the LCM of 17283 and 17288?

Answer:

Least Common Multiple of 17283 and 17288 = 298788504

Step 1: Find the prime factorization of 17283

17283 = 3 x 7 x 823

Step 2: Find the prime factorization of 17288

17288 = 2 x 2 x 2 x 2161

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

LCM = 298788504 = 2 x 2 x 2 x 3 x 7 x 823 x 2161

Step 4: Therefore, the least common multiple of 17283 and 17288 is 298788504.