Least Common Multiple of 15224 and 15232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15224 and 15232 the smallest integer that is 28986496 that is divisible by both numbers.

Least Common Multiple (LCM) of 15224 and 15232 is 28986496.

LCM(15224,15232) = 28986496

LCM of 15224 and 15232

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

LCM of:
and

Least Common Multiple of 15224 and 15232

LCM of 15224 and 15232 is 28986496

Least common multiple can be found by multiplying the highest exponent prime factors of 15224 and 15232. First we will calculate the prime factors of 15224 and 15232.

Prime Factorization of 15224


2 15224
2 7612
2 3806
11 1903
173 173
1

Prime factors of 15224 are 2, 11,173. Prime factorization of 15224 in exponential form is:

15224 = 23×111×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15224 and 15232.

LCM(15224,15232) = 27×71×111×171×1731
LCM(15224,15232) = 28986496

Factors of 15224

List of positive integer factors of 15224 that divides 15224 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224

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

Least Common Multiple of 15224 and 15232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15224 and 15232, than apply into the LCM equation.

GCF(15224,15232) = 8
LCM(15224,15232) = ( 15224 × 15232) / 8
LCM(15224,15232) = 231891968 / 8
LCM(15224,15232) = 28986496

Properties of LCM 15224 and 15232

(i) The LCM of 15232 and 15224 is associative

LCM of 15224 and 15232 = LCM of 15232 and 15224

Related Least Common Multiples of 15224

Related Least Common Multiples of 15232

Frequently Asked Questions on LCM of 15224 and 15232

1. What is the LCM of 15224 and 15232?

Answer: LCM of 15224 and 15232 is 28986496.

2. What are the Factors of 15224?

Answer: Factors of 15224 are 1, 2, 4, 8, 11, 22, 44, 88, 173, 346, 692, 1384, 1903, 3806, 7612, 15224. There are 16 integers that are factors of 15224. The greatest factor of 15224 is 15224.

3. 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.

4. How to Find the LCM of 15224 and 15232?

Answer:

Least Common Multiple of 15224 and 15232 = 28986496

Step 1: Find the prime factorization of 15224

15224 = 2 x 2 x 2 x 11 x 173

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 28986496 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 17 x 173

Step 4: Therefore, the least common multiple of 15224 and 15232 is 28986496.