Least Common Multiple of 15227 and 15232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15227 and 15232 the smallest integer that is 231937664 that is divisible by both numbers.

Least Common Multiple (LCM) of 15227 and 15232 is 231937664.

LCM(15227,15232) = 231937664

LCM of 15227 and 15232

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

LCM of:
and

Least Common Multiple of 15227 and 15232

LCM of 15227 and 15232 is 231937664

Least common multiple can be found by multiplying the highest exponent prime factors of 15227 and 15232. First we will calculate the prime factors of 15227 and 15232.

Prime Factorization of 15227


15227 15227
1

Prime factors of 15227 are 15227. Prime factorization of 15227 in exponential form is:

15227 = 152271

Prime Factorization of 15232


2 15232
2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 15232 are 2, 7,17. Prime factorization of 15232 in exponential form is:

15232 = 27×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15232.

LCM(15227,15232) = 27×71×171×152271
LCM(15227,15232) = 231937664

Factors of 15227

List of positive integer factors of 15227 that divides 15227 without a remainder.

1, 15227

Factors of 15232

List of positive integer factors of 15232 that divides 15232 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232

Least Common Multiple of 15227 and 15232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15227 and 15232, than apply into the LCM equation.

GCF(15227,15232) = 1
LCM(15227,15232) = ( 15227 × 15232) / 1
LCM(15227,15232) = 231937664 / 1
LCM(15227,15232) = 231937664

Properties of LCM 15227 and 15232

(i) The LCM of 15232 and 15227 is associative

LCM of 15227 and 15232 = LCM of 15232 and 15227

Related Least Common Multiples of 15227

Related Least Common Multiples of 15232

Frequently Asked Questions on LCM of 15227 and 15232

1. What is the LCM of 15227 and 15232?

Answer: LCM of 15227 and 15232 is 231937664.

2. What are the Factors of 15227?

Answer: Factors of 15227 are 1, 15227. There are 2 integers that are factors of 15227. The greatest factor of 15227 is 15227.

3. What are the Factors of 15232?

Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.

4. How to Find the LCM of 15227 and 15232?

Answer:

Least Common Multiple of 15227 and 15232 = 231937664

Step 1: Find the prime factorization of 15227

15227 = 15227

Step 2: Find the prime factorization of 15232

15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

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

LCM = 231937664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 15227

Step 4: Therefore, the least common multiple of 15227 and 15232 is 231937664.