Least Common Multiple of 13216 and 13224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13216 and 13224 the smallest integer that is 21846048 that is divisible by both numbers.

Least Common Multiple (LCM) of 13216 and 13224 is 21846048.

LCM(13216,13224) = 21846048

LCM of 13216 and 13224

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

LCM of:
and

Least Common Multiple of 13216 and 13224

LCM of 13216 and 13224 is 21846048

Least common multiple can be found by multiplying the highest exponent prime factors of 13216 and 13224. First we will calculate the prime factors of 13216 and 13224.

Prime Factorization of 13216


2 13216
2 6608
2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 13216 are 2, 7,59. Prime factorization of 13216 in exponential form is:

13216 = 25×71×591

Prime Factorization of 13224


2 13224
2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 13224 are 2, 3, 19,29. Prime factorization of 13224 in exponential form is:

13224 = 23×31×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 13216 and 13224.

LCM(13216,13224) = 25×31×71×191×291×591
LCM(13216,13224) = 21846048

Factors of 13216

List of positive integer factors of 13216 that divides 13216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 112, 118, 224, 236, 413, 472, 826, 944, 1652, 1888, 3304, 6608, 13216

Factors of 13224

List of positive integer factors of 13224 that divides 13224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612, 13224

Least Common Multiple of 13216 and 13224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13216 and 13224, than apply into the LCM equation.

GCF(13216,13224) = 8
LCM(13216,13224) = ( 13216 × 13224) / 8
LCM(13216,13224) = 174768384 / 8
LCM(13216,13224) = 21846048

Properties of LCM 13216 and 13224

(i) The LCM of 13224 and 13216 is associative

LCM of 13216 and 13224 = LCM of 13224 and 13216

Related Least Common Multiples of 13216

Related Least Common Multiples of 13224

Frequently Asked Questions on LCM of 13216 and 13224

1. What is the LCM of 13216 and 13224?

Answer: LCM of 13216 and 13224 is 21846048.

2. What are the Factors of 13216?

Answer: Factors of 13216 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 112, 118, 224, 236, 413, 472, 826, 944, 1652, 1888, 3304, 6608, 13216. There are 24 integers that are factors of 13216. The greatest factor of 13216 is 13216.

3. What are the Factors of 13224?

Answer: Factors of 13224 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612, 13224. There are 32 integers that are factors of 13224. The greatest factor of 13224 is 13224.

4. How to Find the LCM of 13216 and 13224?

Answer:

Least Common Multiple of 13216 and 13224 = 21846048

Step 1: Find the prime factorization of 13216

13216 = 2 x 2 x 2 x 2 x 2 x 7 x 59

Step 2: Find the prime factorization of 13224

13224 = 2 x 2 x 2 x 3 x 19 x 29

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

LCM = 21846048 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 29 x 59

Step 4: Therefore, the least common multiple of 13216 and 13224 is 21846048.