Least Common Multiple of 3227 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 3227 and 3232 the smallest integer that is 10429664 that is divisible by both numbers.

Least Common Multiple (LCM) of 3227 and 3232 is 10429664.

LCM(3227,3232) = 10429664

LCM of 3227 and 3232

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

LCM of:
and

Least Common Multiple of 3227 and 3232

LCM of 3227 and 3232 is 10429664

Least common multiple can be found by multiplying the highest exponent prime factors of 3227 and 3232. First we will calculate the prime factors of 3227 and 3232.

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

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 3227 and 3232.

LCM(3227,3232) = 25×71×1011×4611
LCM(3227,3232) = 10429664

Factors of 3227

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

1, 7, 461, 3227

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 3227 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 3227 and 3232, than apply into the LCM equation.

GCF(3227,3232) = 1
LCM(3227,3232) = ( 3227 × 3232) / 1
LCM(3227,3232) = 10429664 / 1
LCM(3227,3232) = 10429664

Properties of LCM 3227 and 3232

(i) The LCM of 3232 and 3227 is associative

LCM of 3227 and 3232 = LCM of 3232 and 3227

Related Least Common Multiples of 3227

Related Least Common Multiples of 3232

Frequently Asked Questions on LCM of 3227 and 3232

1. What is the LCM of 3227 and 3232?

Answer: LCM of 3227 and 3232 is 10429664.

2. 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.

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 3227 and 3232?

Answer:

Least Common Multiple of 3227 and 3232 = 10429664

Step 1: Find the prime factorization of 3227

3227 = 7 x 461

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 = 10429664 = 2 x 2 x 2 x 2 x 2 x 7 x 101 x 461

Step 4: Therefore, the least common multiple of 3227 and 3232 is 10429664.