Least Common Multiple of 13227 and 13232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13227 and 13232 the smallest integer that is 175019664 that is divisible by both numbers.

Least Common Multiple (LCM) of 13227 and 13232 is 175019664.

LCM(13227,13232) = 175019664

LCM of 13227 and 13232

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

LCM of:
and

Least Common Multiple of 13227 and 13232

LCM of 13227 and 13232 is 175019664

Least common multiple can be found by multiplying the highest exponent prime factors of 13227 and 13232. First we will calculate the prime factors of 13227 and 13232.

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

Prime Factorization of 13232


2 13232
2 6616
2 3308
2 1654
827 827
1

Prime factors of 13232 are 2,827. Prime factorization of 13232 in exponential form is:

13232 = 24×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 13227 and 13232.

LCM(13227,13232) = 24×31×8271×44091
LCM(13227,13232) = 175019664

Factors of 13227

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

1, 3, 4409, 13227

Factors of 13232

List of positive integer factors of 13232 that divides 13232 without a remainder.

1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232

Least Common Multiple of 13227 and 13232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13227 and 13232, than apply into the LCM equation.

GCF(13227,13232) = 1
LCM(13227,13232) = ( 13227 × 13232) / 1
LCM(13227,13232) = 175019664 / 1
LCM(13227,13232) = 175019664

Properties of LCM 13227 and 13232

(i) The LCM of 13232 and 13227 is associative

LCM of 13227 and 13232 = LCM of 13232 and 13227

Related Least Common Multiples of 13227

Related Least Common Multiples of 13232

Frequently Asked Questions on LCM of 13227 and 13232

1. What is the LCM of 13227 and 13232?

Answer: LCM of 13227 and 13232 is 175019664.

2. 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.

3. What are the Factors of 13232?

Answer: Factors of 13232 are 1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232. There are 10 integers that are factors of 13232. The greatest factor of 13232 is 13232.

4. How to Find the LCM of 13227 and 13232?

Answer:

Least Common Multiple of 13227 and 13232 = 175019664

Step 1: Find the prime factorization of 13227

13227 = 3 x 4409

Step 2: Find the prime factorization of 13232

13232 = 2 x 2 x 2 x 2 x 827

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

LCM = 175019664 = 2 x 2 x 2 x 2 x 3 x 827 x 4409

Step 4: Therefore, the least common multiple of 13227 and 13232 is 175019664.