Least Common Multiple of 15232 and 15239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15232 and 15239 the smallest integer that is 33160064 that is divisible by both numbers.

Least Common Multiple (LCM) of 15232 and 15239 is 33160064.

LCM(15232,15239) = 33160064

LCM of 15232 and 15239

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

LCM of:
and

Least Common Multiple of 15232 and 15239

LCM of 15232 and 15239 is 33160064

Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15239. First we will calculate the prime factors of 15232 and 15239.

Prime Factorization of 15232


2 15232
2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 15232 are 2, 7,17. Prime factorization of 15232 in exponential form is:

15232 = 27×71×171

Prime Factorization of 15239


7 15239
7 2177
311 311
1

Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:

15239 = 72×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15239.

LCM(15232,15239) = 27×72×171×3111
LCM(15232,15239) = 33160064

Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232

Factors of 15239

List of positive integer factors of 15239 that divides 15239 without a remainder.

1, 7, 49, 311, 2177, 15239

Least Common Multiple of 15232 and 15239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15232 and 15239, than apply into the LCM equation.

GCF(15232,15239) = 7
LCM(15232,15239) = ( 15232 × 15239) / 7
LCM(15232,15239) = 232120448 / 7
LCM(15232,15239) = 33160064

Properties of LCM 15232 and 15239

(i) The LCM of 15239 and 15232 is associative

LCM of 15232 and 15239 = LCM of 15239 and 15232

Related Least Common Multiples of 15232

Related Least Common Multiples of 15239

Frequently Asked Questions on LCM of 15232 and 15239

1. What is the LCM of 15232 and 15239?

Answer: LCM of 15232 and 15239 is 33160064.

2. What are the Factors of 15232?

Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.

3. What are the Factors of 15239?

Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.

4. How to Find the LCM of 15232 and 15239?

Answer:

Least Common Multiple of 15232 and 15239 = 33160064

Step 1: Find the prime factorization of 15232

15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 15239

15239 = 7 x 7 x 311

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

LCM = 33160064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 17 x 311

Step 4: Therefore, the least common multiple of 15232 and 15239 is 33160064.