Least Common Multiple of 3224 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 3224 and 3231 the smallest integer that is 10416744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3224 and 3231 is 10416744.

LCM(3224,3231) = 10416744

LCM of 3224 and 3231

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

LCM of:
and

Least Common Multiple of 3224 and 3231

LCM of 3224 and 3231 is 10416744

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3231. First we will calculate the prime factors of 3224 and 3231.

Prime Factorization of 3224


2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 3224 are 2, 13,31. Prime factorization of 3224 in exponential form is:

3224 = 23×131×311

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 3224 and 3231.

LCM(3224,3231) = 23×32×131×311×3591
LCM(3224,3231) = 10416744

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224

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 3224 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 3224 and 3231, than apply into the LCM equation.

GCF(3224,3231) = 1
LCM(3224,3231) = ( 3224 × 3231) / 1
LCM(3224,3231) = 10416744 / 1
LCM(3224,3231) = 10416744

Properties of LCM 3224 and 3231

(i) The LCM of 3231 and 3224 is associative

LCM of 3224 and 3231 = LCM of 3231 and 3224

Related Least Common Multiples of 3224

Related Least Common Multiples of 3231

Frequently Asked Questions on LCM of 3224 and 3231

1. What is the LCM of 3224 and 3231?

Answer: LCM of 3224 and 3231 is 10416744.

2. What are the Factors of 3224?

Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.

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 3224 and 3231?

Answer:

Least Common Multiple of 3224 and 3231 = 10416744

Step 1: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

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 = 10416744 = 2 x 2 x 2 x 3 x 3 x 13 x 31 x 359

Step 4: Therefore, the least common multiple of 3224 and 3231 is 10416744.