Least Common Multiple of 3221 and 3225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3221 and 3225 the smallest integer that is 10387725 that is divisible by both numbers.

Least Common Multiple (LCM) of 3221 and 3225 is 10387725.

LCM(3221,3225) = 10387725

LCM of 3221 and 3225

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

LCM of:
and

Least Common Multiple of 3221 and 3225

LCM of 3221 and 3225 is 10387725

Least common multiple can be found by multiplying the highest exponent prime factors of 3221 and 3225. First we will calculate the prime factors of 3221 and 3225.

Prime Factorization of 3221


3221 3221
1

Prime factors of 3221 are 3221. Prime factorization of 3221 in exponential form is:

3221 = 32211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3221 and 3225.

LCM(3221,3225) = 31×52×431×32211
LCM(3221,3225) = 10387725

Factors of 3221

List of positive integer factors of 3221 that divides 3221 without a remainder.

1, 3221

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

Least Common Multiple of 3221 and 3225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3221 and 3225, than apply into the LCM equation.

GCF(3221,3225) = 1
LCM(3221,3225) = ( 3221 × 3225) / 1
LCM(3221,3225) = 10387725 / 1
LCM(3221,3225) = 10387725

Properties of LCM 3221 and 3225

(i) The LCM of 3225 and 3221 is associative

LCM of 3221 and 3225 = LCM of 3225 and 3221

Related Least Common Multiples of 3221

Related Least Common Multiples of 3225

Frequently Asked Questions on LCM of 3221 and 3225

1. What is the LCM of 3221 and 3225?

Answer: LCM of 3221 and 3225 is 10387725.

2. What are the Factors of 3221?

Answer: Factors of 3221 are 1, 3221. There are 2 integers that are factors of 3221. The greatest factor of 3221 is 3221.

3. 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.

4. How to Find the LCM of 3221 and 3225?

Answer:

Least Common Multiple of 3221 and 3225 = 10387725

Step 1: Find the prime factorization of 3221

3221 = 3221

Step 2: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

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

LCM = 10387725 = 3 x 5 x 5 x 43 x 3221

Step 4: Therefore, the least common multiple of 3221 and 3225 is 10387725.