Least Common Multiple of 15216 and 15224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15216 and 15224 the smallest integer that is 28956048 that is divisible by both numbers.

Least Common Multiple (LCM) of 15216 and 15224 is 28956048.

LCM(15216,15224) = 28956048

LCM of 15216 and 15224

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

LCM of:
and

Least Common Multiple of 15216 and 15224

LCM of 15216 and 15224 is 28956048

Least common multiple can be found by multiplying the highest exponent prime factors of 15216 and 15224. First we will calculate the prime factors of 15216 and 15224.

Prime Factorization of 15216


2 15216
2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 15216 are 2, 3,317. Prime factorization of 15216 in exponential form is:

15216 = 24×31×3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15216 and 15224.

LCM(15216,15224) = 24×31×111×1731×3171
LCM(15216,15224) = 28956048

Factors of 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216

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

Least Common Multiple of 15216 and 15224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15216 and 15224, than apply into the LCM equation.

GCF(15216,15224) = 8
LCM(15216,15224) = ( 15216 × 15224) / 8
LCM(15216,15224) = 231648384 / 8
LCM(15216,15224) = 28956048

Properties of LCM 15216 and 15224

(i) The LCM of 15224 and 15216 is associative

LCM of 15216 and 15224 = LCM of 15224 and 15216

Related Least Common Multiples of 15216

Related Least Common Multiples of 15224

Frequently Asked Questions on LCM of 15216 and 15224

1. What is the LCM of 15216 and 15224?

Answer: LCM of 15216 and 15224 is 28956048.

2. What are the Factors of 15216?

Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.

3. 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.

4. How to Find the LCM of 15216 and 15224?

Answer:

Least Common Multiple of 15216 and 15224 = 28956048

Step 1: Find the prime factorization of 15216

15216 = 2 x 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 15224

15224 = 2 x 2 x 2 x 11 x 173

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

LCM = 28956048 = 2 x 2 x 2 x 2 x 3 x 11 x 173 x 317

Step 4: Therefore, the least common multiple of 15216 and 15224 is 28956048.