Least Common Multiple of 225 and 232

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 232 the smallest integer that is 52200 that is divisible by both numbers.

Least Common Multiple (LCM) of 225 and 232 is 52200.

LCM(225,232) = 52200

LCM of 225 and 232

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

LCM of:
and

Least Common Multiple of 225 and 232

LCM of 225 and 232 is 52200

Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 232. First we will calculate the prime factors of 225 and 232.

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 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 232.

LCM(225,232) = 23×32×52×291
LCM(225,232) = 52200

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 232

List of positive integer factors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Least Common Multiple of 225 and 232 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 232, than apply into the LCM equation.

GCF(225,232) = 1
LCM(225,232) = ( 225 × 232) / 1
LCM(225,232) = 52200 / 1
LCM(225,232) = 52200

Properties of LCM 225 and 232

(i) The LCM of 232 and 225 is associative

LCM of 225 and 232 = LCM of 232 and 225

Related Least Common Multiples of 225

Related Least Common Multiples of 232

Frequently Asked Questions on LCM of 225 and 232

1. What is the LCM of 225 and 232?

Answer: LCM of 225 and 232 is 52200.

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 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

4. How to Find the LCM of 225 and 232?

Answer:

Least Common Multiple of 225 and 232 = 52200

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

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

LCM = 52200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29

Step 4: Therefore, the least common multiple of 225 and 232 is 52200.