Least Common Multiple of 3227 and 3231

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 3231 the smallest integer that is 10426437 that is divisible by both numbers.

Least Common Multiple (LCM) of 3227 and 3231 is 10426437.

LCM(3227,3231) = 10426437

LCM of 3227 and 3231

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

LCM of:
and

Least Common Multiple of 3227 and 3231

LCM of 3227 and 3231 is 10426437

Least common multiple can be found by multiplying the highest exponent prime factors of 3227 and 3231. First we will calculate the prime factors of 3227 and 3231.

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 3231


3 3231
3 1077
359 359
1

Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:

3231 = 32×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3227 and 3231.

LCM(3227,3231) = 32×71×3591×4611
LCM(3227,3231) = 10426437

Factors of 3227

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

1, 7, 461, 3227

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1, 3, 9, 359, 1077, 3231

Least Common Multiple of 3227 and 3231 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 3231, than apply into the LCM equation.

GCF(3227,3231) = 1
LCM(3227,3231) = ( 3227 × 3231) / 1
LCM(3227,3231) = 10426437 / 1
LCM(3227,3231) = 10426437

Properties of LCM 3227 and 3231

(i) The LCM of 3231 and 3227 is associative

LCM of 3227 and 3231 = LCM of 3231 and 3227

Related Least Common Multiples of 3227

Related Least Common Multiples of 3231

Frequently Asked Questions on LCM of 3227 and 3231

1. What is the LCM of 3227 and 3231?

Answer: LCM of 3227 and 3231 is 10426437.

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 3231?

Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.

4. How to Find the LCM of 3227 and 3231?

Answer:

Least Common Multiple of 3227 and 3231 = 10426437

Step 1: Find the prime factorization of 3227

3227 = 7 x 461

Step 2: Find the prime factorization of 3231

3231 = 3 x 3 x 359

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

LCM = 10426437 = 3 x 3 x 7 x 359 x 461

Step 4: Therefore, the least common multiple of 3227 and 3231 is 10426437.