Least Common Multiple of 227 and 230

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 230 the smallest integer that is 52210 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 230 is 52210.

LCM(227,230) = 52210

LCM of 227 and 230

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

LCM of:
and

Least Common Multiple of 227 and 230

LCM of 227 and 230 is 52210

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 230. First we will calculate the prime factors of 227 and 230.

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 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 230.

LCM(227,230) = 21×51×231×2271
LCM(227,230) = 52210

Factors of 227

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

1, 227

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Least Common Multiple of 227 and 230 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 230, than apply into the LCM equation.

GCF(227,230) = 1
LCM(227,230) = ( 227 × 230) / 1
LCM(227,230) = 52210 / 1
LCM(227,230) = 52210

Properties of LCM 227 and 230

(i) The LCM of 230 and 227 is associative

LCM of 227 and 230 = LCM of 230 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 227 and 230

1. What is the LCM of 227 and 230?

Answer: LCM of 227 and 230 is 52210.

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 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. How to Find the LCM of 227 and 230?

Answer:

Least Common Multiple of 227 and 230 = 52210

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 230

230 = 2 x 5 x 23

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

LCM = 52210 = 2 x 5 x 23 x 227

Step 4: Therefore, the least common multiple of 227 and 230 is 52210.