Least Common Multiple of 3222 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 3222 and 3230 the smallest integer that is 5203530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3222 and 3230 is 5203530.

LCM(3222,3230) = 5203530

LCM of 3222 and 3230

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

LCM of:
and

Least Common Multiple of 3222 and 3230

LCM of 3222 and 3230 is 5203530

Least common multiple can be found by multiplying the highest exponent prime factors of 3222 and 3230. First we will calculate the prime factors of 3222 and 3230.

Prime Factorization of 3222


2 3222
3 1611
3 537
179 179
1

Prime factors of 3222 are 2, 3,179. Prime factorization of 3222 in exponential form is:

3222 = 21×32×1791

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 3222 and 3230.

LCM(3222,3230) = 21×32×51×171×191×1791
LCM(3222,3230) = 5203530

Factors of 3222

List of positive integer factors of 3222 that divides 3222 without a remainder.

1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222

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 3222 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 3222 and 3230, than apply into the LCM equation.

GCF(3222,3230) = 2
LCM(3222,3230) = ( 3222 × 3230) / 2
LCM(3222,3230) = 10407060 / 2
LCM(3222,3230) = 5203530

Properties of LCM 3222 and 3230

(i) The LCM of 3230 and 3222 is associative

LCM of 3222 and 3230 = LCM of 3230 and 3222

Related Least Common Multiples of 3222

Related Least Common Multiples of 3230

Frequently Asked Questions on LCM of 3222 and 3230

1. What is the LCM of 3222 and 3230?

Answer: LCM of 3222 and 3230 is 5203530.

2. What are the Factors of 3222?

Answer: Factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222. There are 12 integers that are factors of 3222. The greatest factor of 3222 is 3222.

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 3222 and 3230?

Answer:

Least Common Multiple of 3222 and 3230 = 5203530

Step 1: Find the prime factorization of 3222

3222 = 2 x 3 x 3 x 179

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 = 5203530 = 2 x 3 x 3 x 5 x 17 x 19 x 179

Step 4: Therefore, the least common multiple of 3222 and 3230 is 5203530.