Least Common Multiple of 225 and 227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 225 and 227 the smallest integer that is 51075 that is divisible by both numbers.

Least Common Multiple (LCM) of 225 and 227 is 51075.

LCM(225,227) = 51075

LCM of 225 and 227

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

LCM of:
and

Least Common Multiple of 225 and 227

LCM of 225 and 227 is 51075

Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 227. First we will calculate the prime factors of 225 and 227.

Prime Factorization of 225


3 225
3 75
5 25
5 5
1

Prime factors of 225 are 3,5. Prime factorization of 225 in exponential form is:

225 = 32×52

Prime Factorization of 227


227 227
1

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

227 = 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 227.

LCM(225,227) = 32×52×2271
LCM(225,227) = 51075

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Factors of 227

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

1, 227

Least Common Multiple of 225 and 227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 227, than apply into the LCM equation.

GCF(225,227) = 1
LCM(225,227) = ( 225 × 227) / 1
LCM(225,227) = 51075 / 1
LCM(225,227) = 51075

Properties of LCM 225 and 227

(i) The LCM of 227 and 225 is associative

LCM of 225 and 227 = LCM of 227 and 225

Related Least Common Multiples of 225

Related Least Common Multiples of 227

Frequently Asked Questions on LCM of 225 and 227

1. What is the LCM of 225 and 227?

Answer: LCM of 225 and 227 is 51075.

2. What are the Factors of 225?

Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.

3. 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.

4. How to Find the LCM of 225 and 227?

Answer:

Least Common Multiple of 225 and 227 = 51075

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 227

227 = 227

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

LCM = 51075 = 3 x 3 x 5 x 5 x 227

Step 4: Therefore, the least common multiple of 225 and 227 is 51075.