Least Common Multiple of 3225 and 3232

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 3232 the smallest integer that is 10423200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3225 and 3232 is 10423200.

LCM(3225,3232) = 10423200

LCM of 3225 and 3232

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

LCM of:
and

Least Common Multiple of 3225 and 3232

LCM of 3225 and 3232 is 10423200

Least common multiple can be found by multiplying the highest exponent prime factors of 3225 and 3232. First we will calculate the prime factors of 3225 and 3232.

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 3232


2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 3232 are 2,101. Prime factorization of 3232 in exponential form is:

3232 = 25×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3225 and 3232.

LCM(3225,3232) = 25×31×52×431×1011
LCM(3225,3232) = 10423200

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 3232

List of positive integer factors of 3232 that divides 3232 without a remainder.

1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232

Least Common Multiple of 3225 and 3232 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 3232, than apply into the LCM equation.

GCF(3225,3232) = 1
LCM(3225,3232) = ( 3225 × 3232) / 1
LCM(3225,3232) = 10423200 / 1
LCM(3225,3232) = 10423200

Properties of LCM 3225 and 3232

(i) The LCM of 3232 and 3225 is associative

LCM of 3225 and 3232 = LCM of 3232 and 3225

Related Least Common Multiples of 3225

Related Least Common Multiples of 3232

Frequently Asked Questions on LCM of 3225 and 3232

1. What is the LCM of 3225 and 3232?

Answer: LCM of 3225 and 3232 is 10423200.

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 3232?

Answer: Factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232. There are 12 integers that are factors of 3232. The greatest factor of 3232 is 3232.

4. How to Find the LCM of 3225 and 3232?

Answer:

Least Common Multiple of 3225 and 3232 = 10423200

Step 1: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 3232

3232 = 2 x 2 x 2 x 2 x 2 x 101

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

LCM = 10423200 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 43 x 101

Step 4: Therefore, the least common multiple of 3225 and 3232 is 10423200.