Least Common Multiple of 225 and 231

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 231 the smallest integer that is 17325 that is divisible by both numbers.

Least Common Multiple (LCM) of 225 and 231 is 17325.

LCM(225,231) = 17325

LCM of 225 and 231

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

LCM of:
and

Least Common Multiple of 225 and 231

LCM of 225 and 231 is 17325

Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 231. First we will calculate the prime factors of 225 and 231.

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 231


3 231
7 77
11 11
1

Prime factors of 231 are 3, 7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 231.

LCM(225,231) = 32×52×71×111
LCM(225,231) = 17325

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 231

List of positive integer factors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Least Common Multiple of 225 and 231 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 231, than apply into the LCM equation.

GCF(225,231) = 3
LCM(225,231) = ( 225 × 231) / 3
LCM(225,231) = 51975 / 3
LCM(225,231) = 17325

Properties of LCM 225 and 231

(i) The LCM of 231 and 225 is associative

LCM of 225 and 231 = LCM of 231 and 225

Related Least Common Multiples of 225

Related Least Common Multiples of 231

Frequently Asked Questions on LCM of 225 and 231

1. What is the LCM of 225 and 231?

Answer: LCM of 225 and 231 is 17325.

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 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

4. How to Find the LCM of 225 and 231?

Answer:

Least Common Multiple of 225 and 231 = 17325

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 231

231 = 3 x 7 x 11

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

LCM = 17325 = 3 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 225 and 231 is 17325.