Least Common Multiple of 227 and 235

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 235 the smallest integer that is 53345 that is divisible by both numbers.

Least Common Multiple (LCM) of 227 and 235 is 53345.

LCM(227,235) = 53345

LCM of 227 and 235

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

LCM of:
and

Least Common Multiple of 227 and 235

LCM of 227 and 235 is 53345

Least common multiple can be found by multiplying the highest exponent prime factors of 227 and 235. First we will calculate the prime factors of 227 and 235.

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 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 227 and 235.

LCM(227,235) = 51×471×2271
LCM(227,235) = 53345

Factors of 227

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

1, 227

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Least Common Multiple of 227 and 235 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 235, than apply into the LCM equation.

GCF(227,235) = 1
LCM(227,235) = ( 227 × 235) / 1
LCM(227,235) = 53345 / 1
LCM(227,235) = 53345

Properties of LCM 227 and 235

(i) The LCM of 235 and 227 is associative

LCM of 227 and 235 = LCM of 235 and 227

Related Least Common Multiples of 227

Related Least Common Multiples of 235

Frequently Asked Questions on LCM of 227 and 235

1. What is the LCM of 227 and 235?

Answer: LCM of 227 and 235 is 53345.

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 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

4. How to Find the LCM of 227 and 235?

Answer:

Least Common Multiple of 227 and 235 = 53345

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 235

235 = 5 x 47

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

LCM = 53345 = 5 x 47 x 227

Step 4: Therefore, the least common multiple of 227 and 235 is 53345.