Least Common Multiple of 227 and 234

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 234 the smallest integer that is 53118 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 234 is 53118.

LCM(227,234) = 53118

LCM of 227 and 234

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

LCM of:
and

Least Common Multiple of 227 and 234

LCM of 227 and 234 is 53118

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 234. First we will calculate the prime factors of 227 and 234.

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 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 234.

LCM(227,234) = 21×32×131×2271
LCM(227,234) = 53118

Factors of 227

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

1, 227

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Least Common Multiple of 227 and 234 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 234, than apply into the LCM equation.

GCF(227,234) = 1
LCM(227,234) = ( 227 × 234) / 1
LCM(227,234) = 53118 / 1
LCM(227,234) = 53118

Properties of LCM 227 and 234

(i) The LCM of 234 and 227 is associative

LCM of 227 and 234 = LCM of 234 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 227 and 234

1. What is the LCM of 227 and 234?

Answer: LCM of 227 and 234 is 53118.

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 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. How to Find the LCM of 227 and 234?

Answer:

Least Common Multiple of 227 and 234 = 53118

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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

LCM = 53118 = 2 x 3 x 3 x 13 x 227

Step 4: Therefore, the least common multiple of 227 and 234 is 53118.