Least Common Multiple of 225 and 230

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 230 the smallest integer that is 10350 that is divisible by both numbers.

Least Common Multiple (LCM) of 225 and 230 is 10350.

LCM(225,230) = 10350

LCM of 225 and 230

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

LCM of:
and

Least Common Multiple of 225 and 230

LCM of 225 and 230 is 10350

Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 230. First we will calculate the prime factors of 225 and 230.

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 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 230.

LCM(225,230) = 21×32×52×231
LCM(225,230) = 10350

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 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Least Common Multiple of 225 and 230 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 230, than apply into the LCM equation.

GCF(225,230) = 5
LCM(225,230) = ( 225 × 230) / 5
LCM(225,230) = 51750 / 5
LCM(225,230) = 10350

Properties of LCM 225 and 230

(i) The LCM of 230 and 225 is associative

LCM of 225 and 230 = LCM of 230 and 225

Related Least Common Multiples of 225

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 225 and 230

1. What is the LCM of 225 and 230?

Answer: LCM of 225 and 230 is 10350.

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 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. How to Find the LCM of 225 and 230?

Answer:

Least Common Multiple of 225 and 230 = 10350

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 230

230 = 2 x 5 x 23

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

LCM = 10350 = 2 x 3 x 3 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 225 and 230 is 10350.