Least Common Multiple of 17232 and 17239

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 17239 the smallest integer that is 297062448 that is divisible by both numbers.

Least Common Multiple (LCM) of 17232 and 17239 is 297062448.

LCM(17232,17239) = 297062448

LCM of 17232 and 17239

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

LCM of:
and

Least Common Multiple of 17232 and 17239

LCM of 17232 and 17239 is 297062448

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17239. First we will calculate the prime factors of 17232 and 17239.

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 17239


17239 17239
1

Prime factors of 17239 are 17239. Prime factorization of 17239 in exponential form is:

17239 = 172391

Now multiplying the highest exponent prime factors to calculate the LCM of 17232 and 17239.

LCM(17232,17239) = 24×31×3591×172391
LCM(17232,17239) = 297062448

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 17239

List of positive integer factors of 17239 that divides 17239 without a remainder.

1, 17239

Least Common Multiple of 17232 and 17239 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 17239, than apply into the LCM equation.

GCF(17232,17239) = 1
LCM(17232,17239) = ( 17232 × 17239) / 1
LCM(17232,17239) = 297062448 / 1
LCM(17232,17239) = 297062448

Properties of LCM 17232 and 17239

(i) The LCM of 17239 and 17232 is associative

LCM of 17232 and 17239 = LCM of 17239 and 17232

Related Least Common Multiples of 17232

Related Least Common Multiples of 17239

Frequently Asked Questions on LCM of 17232 and 17239

1. What is the LCM of 17232 and 17239?

Answer: LCM of 17232 and 17239 is 297062448.

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 17239?

Answer: Factors of 17239 are 1, 17239. There are 2 integers that are factors of 17239. The greatest factor of 17239 is 17239.

4. How to Find the LCM of 17232 and 17239?

Answer:

Least Common Multiple of 17232 and 17239 = 297062448

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 17239

17239 = 17239

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

LCM = 297062448 = 2 x 2 x 2 x 2 x 3 x 359 x 17239

Step 4: Therefore, the least common multiple of 17232 and 17239 is 297062448.