Least Common Multiple of 13216 and 13217

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 13217 the smallest integer that is 174675872 that is divisible by both numbers.

Least Common Multiple (LCM) of 13216 and 13217 is 174675872.

LCM(13216,13217) = 174675872

LCM of 13216 and 13217

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

LCM of:
and

Least Common Multiple of 13216 and 13217

LCM of 13216 and 13217 is 174675872

Least common multiple can be found by multiplying the highest exponent prime factors of 13216 and 13217. First we will calculate the prime factors of 13216 and 13217.

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 13217


13217 13217
1

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Now multiplying the highest exponent prime factors to calculate the LCM of 13216 and 13217.

LCM(13216,13217) = 25×71×591×132171
LCM(13216,13217) = 174675872

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 13217

List of positive integer factors of 13217 that divides 13217 without a remainder.

1, 13217

Least Common Multiple of 13216 and 13217 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 13217, than apply into the LCM equation.

GCF(13216,13217) = 1
LCM(13216,13217) = ( 13216 × 13217) / 1
LCM(13216,13217) = 174675872 / 1
LCM(13216,13217) = 174675872

Properties of LCM 13216 and 13217

(i) The LCM of 13217 and 13216 is associative

LCM of 13216 and 13217 = LCM of 13217 and 13216

Related Least Common Multiples of 13216

Related Least Common Multiples of 13217

Frequently Asked Questions on LCM of 13216 and 13217

1. What is the LCM of 13216 and 13217?

Answer: LCM of 13216 and 13217 is 174675872.

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 13217?

Answer: Factors of 13217 are 1, 13217. There are 2 integers that are factors of 13217. The greatest factor of 13217 is 13217.

4. How to Find the LCM of 13216 and 13217?

Answer:

Least Common Multiple of 13216 and 13217 = 174675872

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 13217

13217 = 13217

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

LCM = 174675872 = 2 x 2 x 2 x 2 x 2 x 7 x 59 x 13217

Step 4: Therefore, the least common multiple of 13216 and 13217 is 174675872.