Least Common Multiple of 227 and 228

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 228 the smallest integer that is 51756 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 228 is 51756.

LCM(227,228) = 51756

LCM of 227 and 228

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

LCM of:
and

Least Common Multiple of 227 and 228

LCM of 227 and 228 is 51756

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 228. First we will calculate the prime factors of 227 and 228.

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 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 228.

LCM(227,228) = 22×31×191×2271
LCM(227,228) = 51756

Factors of 227

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

1, 227

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Least Common Multiple of 227 and 228 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 228, than apply into the LCM equation.

GCF(227,228) = 1
LCM(227,228) = ( 227 × 228) / 1
LCM(227,228) = 51756 / 1
LCM(227,228) = 51756

Properties of LCM 227 and 228

(i) The LCM of 228 and 227 is associative

LCM of 227 and 228 = LCM of 228 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 227 and 228

1. What is the LCM of 227 and 228?

Answer: LCM of 227 and 228 is 51756.

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 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

4. How to Find the LCM of 227 and 228?

Answer:

Least Common Multiple of 227 and 228 = 51756

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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

LCM = 51756 = 2 x 2 x 3 x 19 x 227

Step 4: Therefore, the least common multiple of 227 and 228 is 51756.