Least Common Multiple of 13223 and 13227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13223 and 13227 the smallest integer that is 174900621 that is divisible by both numbers.

Least Common Multiple (LCM) of 13223 and 13227 is 174900621.

LCM(13223,13227) = 174900621

LCM of 13223 and 13227

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

LCM of:
and

Least Common Multiple of 13223 and 13227

LCM of 13223 and 13227 is 174900621

Least common multiple can be found by multiplying the highest exponent prime factors of 13223 and 13227. First we will calculate the prime factors of 13223 and 13227.

Prime Factorization of 13223


7 13223
1889 1889
1

Prime factors of 13223 are 7,1889. Prime factorization of 13223 in exponential form is:

13223 = 71×18891

Prime Factorization of 13227


3 13227
4409 4409
1

Prime factors of 13227 are 3,4409. Prime factorization of 13227 in exponential form is:

13227 = 31×44091

Now multiplying the highest exponent prime factors to calculate the LCM of 13223 and 13227.

LCM(13223,13227) = 31×71×18891×44091
LCM(13223,13227) = 174900621

Factors of 13223

List of positive integer factors of 13223 that divides 13223 without a remainder.

1, 7, 1889, 13223

Factors of 13227

List of positive integer factors of 13227 that divides 13227 without a remainder.

1, 3, 4409, 13227

Least Common Multiple of 13223 and 13227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13223 and 13227, than apply into the LCM equation.

GCF(13223,13227) = 1
LCM(13223,13227) = ( 13223 × 13227) / 1
LCM(13223,13227) = 174900621 / 1
LCM(13223,13227) = 174900621

Properties of LCM 13223 and 13227

(i) The LCM of 13227 and 13223 is associative

LCM of 13223 and 13227 = LCM of 13227 and 13223

Related Least Common Multiples of 13223

Related Least Common Multiples of 13227

Frequently Asked Questions on LCM of 13223 and 13227

1. What is the LCM of 13223 and 13227?

Answer: LCM of 13223 and 13227 is 174900621.

2. What are the Factors of 13223?

Answer: Factors of 13223 are 1, 7, 1889, 13223. There are 4 integers that are factors of 13223. The greatest factor of 13223 is 13223.

3. What are the Factors of 13227?

Answer: Factors of 13227 are 1, 3, 4409, 13227. There are 4 integers that are factors of 13227. The greatest factor of 13227 is 13227.

4. How to Find the LCM of 13223 and 13227?

Answer:

Least Common Multiple of 13223 and 13227 = 174900621

Step 1: Find the prime factorization of 13223

13223 = 7 x 1889

Step 2: Find the prime factorization of 13227

13227 = 3 x 4409

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

LCM = 174900621 = 3 x 7 x 1889 x 4409

Step 4: Therefore, the least common multiple of 13223 and 13227 is 174900621.