Least Common Multiple of 3224 and 3230

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 3230 the smallest integer that is 5206760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3224 and 3230 is 5206760.

LCM(3224,3230) = 5206760

LCM of 3224 and 3230

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

LCM of:
and

Least Common Multiple of 3224 and 3230

LCM of 3224 and 3230 is 5206760

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3230. First we will calculate the prime factors of 3224 and 3230.

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 3230


2 3230
5 1615
17 323
19 19
1

Prime factors of 3230 are 2, 5, 17,19. Prime factorization of 3230 in exponential form is:

3230 = 21×51×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3224 and 3230.

LCM(3224,3230) = 23×51×131×171×191×311
LCM(3224,3230) = 5206760

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 3230

List of positive integer factors of 3230 that divides 3230 without a remainder.

1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230

Least Common Multiple of 3224 and 3230 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 3230, than apply into the LCM equation.

GCF(3224,3230) = 2
LCM(3224,3230) = ( 3224 × 3230) / 2
LCM(3224,3230) = 10413520 / 2
LCM(3224,3230) = 5206760

Properties of LCM 3224 and 3230

(i) The LCM of 3230 and 3224 is associative

LCM of 3224 and 3230 = LCM of 3230 and 3224

Related Least Common Multiples of 3224

Related Least Common Multiples of 3230

Frequently Asked Questions on LCM of 3224 and 3230

1. What is the LCM of 3224 and 3230?

Answer: LCM of 3224 and 3230 is 5206760.

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 3230?

Answer: Factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230. There are 16 integers that are factors of 3230. The greatest factor of 3230 is 3230.

4. How to Find the LCM of 3224 and 3230?

Answer:

Least Common Multiple of 3224 and 3230 = 5206760

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 3230

3230 = 2 x 5 x 17 x 19

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

LCM = 5206760 = 2 x 2 x 2 x 5 x 13 x 17 x 19 x 31

Step 4: Therefore, the least common multiple of 3224 and 3230 is 5206760.