Least Common Multiple of 17232 and 17237

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 17237 the smallest integer that is 297027984 that is divisible by both numbers.

Least Common Multiple (LCM) of 17232 and 17237 is 297027984.

LCM(17232,17237) = 297027984

LCM of 17232 and 17237

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

LCM of:
and

Least Common Multiple of 17232 and 17237

LCM of 17232 and 17237 is 297027984

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17237. First we will calculate the prime factors of 17232 and 17237.

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 17237


11 17237
1567 1567
1

Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:

17237 = 111×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 17232 and 17237.

LCM(17232,17237) = 24×31×111×3591×15671
LCM(17232,17237) = 297027984

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 17237

List of positive integer factors of 17237 that divides 17237 without a remainder.

1, 11, 1567, 17237

Least Common Multiple of 17232 and 17237 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 17237, than apply into the LCM equation.

GCF(17232,17237) = 1
LCM(17232,17237) = ( 17232 × 17237) / 1
LCM(17232,17237) = 297027984 / 1
LCM(17232,17237) = 297027984

Properties of LCM 17232 and 17237

(i) The LCM of 17237 and 17232 is associative

LCM of 17232 and 17237 = LCM of 17237 and 17232

Related Least Common Multiples of 17232

Related Least Common Multiples of 17237

Frequently Asked Questions on LCM of 17232 and 17237

1. What is the LCM of 17232 and 17237?

Answer: LCM of 17232 and 17237 is 297027984.

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 17237?

Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.

4. How to Find the LCM of 17232 and 17237?

Answer:

Least Common Multiple of 17232 and 17237 = 297027984

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 17237

17237 = 11 x 1567

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

LCM = 297027984 = 2 x 2 x 2 x 2 x 3 x 11 x 359 x 1567

Step 4: Therefore, the least common multiple of 17232 and 17237 is 297027984.