Least Common Multiple of 13216 and 13220

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 13220 the smallest integer that is 43678880 that is divisible by both numbers.

Least Common Multiple (LCM) of 13216 and 13220 is 43678880.

LCM(13216,13220) = 43678880

LCM of 13216 and 13220

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

LCM of:
and

Least Common Multiple of 13216 and 13220

LCM of 13216 and 13220 is 43678880

Least common multiple can be found by multiplying the highest exponent prime factors of 13216 and 13220. First we will calculate the prime factors of 13216 and 13220.

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 13220


2 13220
2 6610
5 3305
661 661
1

Prime factors of 13220 are 2, 5,661. Prime factorization of 13220 in exponential form is:

13220 = 22×51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 13216 and 13220.

LCM(13216,13220) = 25×51×71×591×6611
LCM(13216,13220) = 43678880

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 13220

List of positive integer factors of 13220 that divides 13220 without a remainder.

1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220

Least Common Multiple of 13216 and 13220 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 13220, than apply into the LCM equation.

GCF(13216,13220) = 4
LCM(13216,13220) = ( 13216 × 13220) / 4
LCM(13216,13220) = 174715520 / 4
LCM(13216,13220) = 43678880

Properties of LCM 13216 and 13220

(i) The LCM of 13220 and 13216 is associative

LCM of 13216 and 13220 = LCM of 13220 and 13216

Related Least Common Multiples of 13216

Related Least Common Multiples of 13220

Frequently Asked Questions on LCM of 13216 and 13220

1. What is the LCM of 13216 and 13220?

Answer: LCM of 13216 and 13220 is 43678880.

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 13220?

Answer: Factors of 13220 are 1, 2, 4, 5, 10, 20, 661, 1322, 2644, 3305, 6610, 13220. There are 12 integers that are factors of 13220. The greatest factor of 13220 is 13220.

4. How to Find the LCM of 13216 and 13220?

Answer:

Least Common Multiple of 13216 and 13220 = 43678880

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 13220

13220 = 2 x 2 x 5 x 661

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

LCM = 43678880 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 59 x 661

Step 4: Therefore, the least common multiple of 13216 and 13220 is 43678880.