Least Common Multiple of 227 and 232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 227 and 232 the smallest integer that is 52664 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 232 is 52664.

LCM(227,232) = 52664

LCM of 227 and 232

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

LCM of:
and

Least Common Multiple of 227 and 232

LCM of 227 and 232 is 52664

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 232. First we will calculate the prime factors of 227 and 232.

Prime Factorization of 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

Prime Factorization of 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 232.

LCM(227,232) = 23×291×2271
LCM(227,232) = 52664

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1, 227

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Least Common Multiple of 227 and 232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 227 and 232, than apply into the LCM equation.

GCF(227,232) = 1
LCM(227,232) = ( 227 × 232) / 1
LCM(227,232) = 52664 / 1
LCM(227,232) = 52664

Properties of LCM 227 and 232

(i) The LCM of 232 and 227 is associative

LCM of 227 and 232 = LCM of 232 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 232

Frequently Asked Questions on LCM of 227 and 232

1. What is the LCM of 227 and 232?

Answer: LCM of 227 and 232 is 52664.

2. What are the Factors of 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

3. What are the Factors of 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

4. How to Find the LCM of 227 and 232?

Answer:

Least Common Multiple of 227 and 232 = 52664

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

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

LCM = 52664 = 2 x 2 x 2 x 29 x 227

Step 4: Therefore, the least common multiple of 227 and 232 is 52664.