Least Common Multiple of 3225 and 3227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3225 and 3227 the smallest integer that is 10407075 that is divisible by both numbers.

Least Common Multiple (LCM) of 3225 and 3227 is 10407075.

LCM(3225,3227) = 10407075

LCM of 3225 and 3227

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

LCM of:
and

Least Common Multiple of 3225 and 3227

LCM of 3225 and 3227 is 10407075

Least common multiple can be found by multiplying the highest exponent prime factors of 3225 and 3227. First we will calculate the prime factors of 3225 and 3227.

Prime Factorization of 3225


3 3225
5 1075
5 215
43 43
1

Prime factors of 3225 are 3, 5,43. Prime factorization of 3225 in exponential form is:

3225 = 31×52×431

Prime Factorization of 3227


7 3227
461 461
1

Prime factors of 3227 are 7,461. Prime factorization of 3227 in exponential form is:

3227 = 71×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 3225 and 3227.

LCM(3225,3227) = 31×52×71×431×4611
LCM(3225,3227) = 10407075

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225

Factors of 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1, 7, 461, 3227

Least Common Multiple of 3225 and 3227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3225 and 3227, than apply into the LCM equation.

GCF(3225,3227) = 1
LCM(3225,3227) = ( 3225 × 3227) / 1
LCM(3225,3227) = 10407075 / 1
LCM(3225,3227) = 10407075

Properties of LCM 3225 and 3227

(i) The LCM of 3227 and 3225 is associative

LCM of 3225 and 3227 = LCM of 3227 and 3225

Related Least Common Multiples of 3225

Related Least Common Multiples of 3227

Frequently Asked Questions on LCM of 3225 and 3227

1. What is the LCM of 3225 and 3227?

Answer: LCM of 3225 and 3227 is 10407075.

2. What are the Factors of 3225?

Answer: Factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. There are 12 integers that are factors of 3225. The greatest factor of 3225 is 3225.

3. What are the Factors of 3227?

Answer: Factors of 3227 are 1, 7, 461, 3227. There are 4 integers that are factors of 3227. The greatest factor of 3227 is 3227.

4. How to Find the LCM of 3225 and 3227?

Answer:

Least Common Multiple of 3225 and 3227 = 10407075

Step 1: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 3227

3227 = 7 x 461

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

LCM = 10407075 = 3 x 5 x 5 x 7 x 43 x 461

Step 4: Therefore, the least common multiple of 3225 and 3227 is 10407075.