Least Common Multiple of 15232 and 15237

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 15237 the smallest integer that is 232089984 that is divisible by both numbers.

Least Common Multiple (LCM) of 15232 and 15237 is 232089984.

LCM(15232,15237) = 232089984

LCM of 15232 and 15237

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

LCM of:
and

Least Common Multiple of 15232 and 15237

LCM of 15232 and 15237 is 232089984

Least common multiple can be found by multiplying the highest exponent prime factors of 15232 and 15237. First we will calculate the prime factors of 15232 and 15237.

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 15237


3 15237
3 5079
1693 1693
1

Prime factors of 15237 are 3,1693. Prime factorization of 15237 in exponential form is:

15237 = 32×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 15232 and 15237.

LCM(15232,15237) = 27×32×71×171×16931
LCM(15232,15237) = 232089984

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 15237

List of positive integer factors of 15237 that divides 15237 without a remainder.

1, 3, 9, 1693, 5079, 15237

Least Common Multiple of 15232 and 15237 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 15237, than apply into the LCM equation.

GCF(15232,15237) = 1
LCM(15232,15237) = ( 15232 × 15237) / 1
LCM(15232,15237) = 232089984 / 1
LCM(15232,15237) = 232089984

Properties of LCM 15232 and 15237

(i) The LCM of 15237 and 15232 is associative

LCM of 15232 and 15237 = LCM of 15237 and 15232

Related Least Common Multiples of 15232

Related Least Common Multiples of 15237

Frequently Asked Questions on LCM of 15232 and 15237

1. What is the LCM of 15232 and 15237?

Answer: LCM of 15232 and 15237 is 232089984.

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 15237?

Answer: Factors of 15237 are 1, 3, 9, 1693, 5079, 15237. There are 6 integers that are factors of 15237. The greatest factor of 15237 is 15237.

4. How to Find the LCM of 15232 and 15237?

Answer:

Least Common Multiple of 15232 and 15237 = 232089984

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 15237

15237 = 3 x 3 x 1693

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

LCM = 232089984 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 1693

Step 4: Therefore, the least common multiple of 15232 and 15237 is 232089984.