Least Common Multiple of 13216 and 13221

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 13221 the smallest integer that is 174728736 that is divisible by both numbers.

Least Common Multiple (LCM) of 13216 and 13221 is 174728736.

LCM(13216,13221) = 174728736

LCM of 13216 and 13221

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

LCM of:
and

Least Common Multiple of 13216 and 13221

LCM of 13216 and 13221 is 174728736

Least common multiple can be found by multiplying the highest exponent prime factors of 13216 and 13221. First we will calculate the prime factors of 13216 and 13221.

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 13221


3 13221
3 4407
13 1469
113 113
1

Prime factors of 13221 are 3, 13,113. Prime factorization of 13221 in exponential form is:

13221 = 32×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 13216 and 13221.

LCM(13216,13221) = 25×32×71×131×591×1131
LCM(13216,13221) = 174728736

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 13221

List of positive integer factors of 13221 that divides 13221 without a remainder.

1, 3, 9, 13, 39, 113, 117, 339, 1017, 1469, 4407, 13221

Least Common Multiple of 13216 and 13221 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 13221, than apply into the LCM equation.

GCF(13216,13221) = 1
LCM(13216,13221) = ( 13216 × 13221) / 1
LCM(13216,13221) = 174728736 / 1
LCM(13216,13221) = 174728736

Properties of LCM 13216 and 13221

(i) The LCM of 13221 and 13216 is associative

LCM of 13216 and 13221 = LCM of 13221 and 13216

Related Least Common Multiples of 13216

Related Least Common Multiples of 13221

Frequently Asked Questions on LCM of 13216 and 13221

1. What is the LCM of 13216 and 13221?

Answer: LCM of 13216 and 13221 is 174728736.

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 13221?

Answer: Factors of 13221 are 1, 3, 9, 13, 39, 113, 117, 339, 1017, 1469, 4407, 13221. There are 12 integers that are factors of 13221. The greatest factor of 13221 is 13221.

4. How to Find the LCM of 13216 and 13221?

Answer:

Least Common Multiple of 13216 and 13221 = 174728736

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 13221

13221 = 3 x 3 x 13 x 113

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

LCM = 174728736 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 59 x 113

Step 4: Therefore, the least common multiple of 13216 and 13221 is 174728736.